0 2x(5x-8)+3 6=x(x-0 7)

Jasonbradley

2 min read Jun 17, 2024

Solving the Equation: 0.2x(5x-8) + 3.6 = x(x-0.7)

This article will guide you through the steps of solving the given equation: 0.2x(5x-8) + 3.6 = x(x-0.7)

Step 1: Expand the Parentheses

First, we need to distribute the terms outside the parentheses:

0.2x(5x-8): This becomes 1x² - 1.6x
x(x-0.7): This becomes x² - 0.7x

Our equation now looks like this: 1x² - 1.6x + 3.6 = x² - 0.7x

Step 2: Simplify by Combining Like Terms

We can simplify by moving all the terms to one side of the equation:

Subtract x² from both sides: -1.6x + 3.6 = -0.7x
Add 1.6x to both sides: 3.6 = 0.9x

Step 3: Isolate the Variable

Now, we need to isolate x by dividing both sides by 0.9:

3.6 / 0.9 = x

Step 4: Calculate the Solution

Performing the division, we find the solution:

x = 4

Conclusion

Therefore, the solution to the equation 0.2x(5x-8) + 3.6 = x(x-0.7) is x = 4. You can verify this by substituting x = 4 back into the original equation and confirming that both sides are equal.