Solving the Equation: -0.03x = -120 – A Step-by-Step Guide

When tackling math problems like linear equations, simplification and clarity are key. One common equation students encounter is -0.03x = -120. Solving this equation not only strengthens algebraic skills but also demonstrates the power of basic math operations in real-world applications. In this article, we’ll walk through how to solve -0.03x = -120, showing every step from rearranging the equation to finding the exact value of x.

Understanding the Context

Step 1: Understanding the Equation
The equation -0.03x = -120 means that negative zero point zero three multiplied by an unknown value x equals negative one twenty. Our goal is to isolate x and determine its numerical value.

Step 2: Isolating the Variable
Because x is multiplied by -0.03, we use division (the reverse operation of multiplication) to isolate x. This means dividing both sides of the equation by -0.03:

\[
x = \frac{-120}{-0.03}
\]

(x, y) \in R \quad \Rightarrow \quad x+4 y=10 \text { but }(y, z) \in R\..

Image Gallery

(x, y) \in R \quad \Rightarrow \quad x+4 y=10 \text { but }(y, z) \in R\..
Let f(x)=y, where x∈R and y∈R \[ \therefore 4 x+3=y \quad \Rightarrow \qu..
Let f(x)=y, where x∈R and y∈R\[\therefore 4 x+3=y \quad \Rightarrow \qu..
\Rightarrow \quad \frac{n !}{(n-1) !}=9 \quad \Rightarrow \quad \frac{n(n..
\[\Rightarrow \quad x=3 \quad\left[x=-\frac{3}{2}(\text { rejected })\ri..

Key Insights

Since dividing two negative numbers results in a positive value, the negatives cancel out, simplifying the calculation.

Step 3: Solving the Division
Now compute:

\[
x = \frac{120}{0.03}
\]

To make the division easier, convert the decimal 0.03 into a fraction:

Continue Reading

This Small Little Wireless Device Changed Your Life Forever—Or Did It?
Bluetooth Headphones Are Silently Listening—Here’s What Happens Now
You’ll Be Shocked How Far Bluetooth Tech Can Go Beyond Sound

🔗 Related Articles You Might Like:

📰 The Hidden Feature That Makes This Portable Lifter Unstoppable 📰 No Spaces Required—This Revolutionary Lift Fits Your Garage Like a Dream 📰 You Won't Believe How This Portable Basketball Hoop Fits in Any Space! 📰 Big Boss Man Dominates The Game Unbelievable Rise To Power You Wont Believe How He Conquered The Floor 📰 Big Boss Man The Untold Strategy That Made Him A Valuable Big Money Machine Secrets Revealed 📰 Big Boss Man The Wrestler From Old School Dominance To Redemptiontourney Highlights Youll Die For 📰 Big Boss Man The Wrestler His Comeback Shocked The Coliseumyou Wont Believe What He Did Next 📰 Big Boss Man The Wrestler The Legends Gritty Comebackyou Wont Try To Ignore This Magic Moment 📰 Big Boss Mans Power Play Explained Secrets To His Cluster Case That Viral Seo Lovers Arent Talking About 📰 Big Boss Snake The Legendary Reptilian Titan Ready To Strike 📰 Big Boss Snake Revealed This Snake Dominates Every Battle 📰 Big Bottomy Curves That Will Make You Rewatch This Now 📰 Big Bouncing Tits That Are Hooking Viewersyou Wont Believe How Hypnotic They Are 📰 Big Bouncing Tits Thatll Make You Leapwarning This Video Is Wild 📰 Big Bouncing Tits The Secret Behind Their Unstoppable Energy Shocking Truths 📰 Big Bouncy Unstoppable The Astonishing World Of Women With Big Tits 📰 Big Bra Insanity Bouncing Boobs That Wont Stop Bouncing Unreal 📰 Big Breakdown How The Black Kid Changed Everything Answering Questions You Didnt Know To Ask

Final Thoughts

\[
0.03 = \frac{3}{100}
\]

Thus,

\[
x = 120 \div \frac{3}{100} = 120 \ imes \frac{100}{3}
\]

Simplify:

\[
x = 120 \ imes \frac{100}{3} = \frac{12000}{3} = 4000
\]

Step 4: Final Answer
The solution to the equation -0.03x = -120 is:

\[
x = \frac{120}{0.03} = 4{,}000
\]

Why This Matters: Real-World Applications
Equations like -0.03x = -120 appear frequently in finance, science, and engineering. For example:
- Finance: Calculating interest rates or depreciation over time.
- Physics: Determining rates of change or motion when negative values indicate reversal or decay.
- Data Analysis: Finding proportional relationships in scaled datasets.