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

x^3 - 8 = (x - 2)(x^2 + 2x + 4)
N(x) = rac{(x - 2)(x^2 + 2x + 4)}{x - 2} = x^2 + 2x + 4 \quad ext{for } x
Now evaluate \( N(3) \):

🔗 Related Articles You Might Like:

📰 amazing race starts when 📰 how many seasons of mayor of kingstown 📰 is vince mcmahon still alive 📰 Censori 3738113 📰 How To Make The Creamiest Crock Pot Chicken Pot Pie You Wont Believe The Secret Ingredient 8675028 📰 Whats My Npi Number Click To Check Instantly Avoid Scams 585387 📰 Zero Sum Game Meaning 8271096 📰 You Wont Believe Whos Taking The Spotlight At The Super Bowl 2026 3287698 📰 Joseph Barbera 9246731 📰 Power Bi Publish To Web 6290280 📰 Spangram Answers Today 8961405 📰 Inline Shower Water Filter 8921800 📰 19C To F The Bizarre Reality You Cant Look Away From 186206 📰 These Hidden Goggle Games Are Taking Streams By Stormcatch Them Before They Vanish 4073687 📰 These Easy To Download Games Are Cbing Formula Best Hits In The App Storetry Them 7208476 📰 Allods Online 616671 📰 You Wont Believe What Happens When You Open The Mysterious Boxes Game 9484358 📰 You Wont Believe What Jucika Achieved In Just 6 Months Step Inside Her Secret 354951

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.