(3x-2)(x+4)=3x^2

2 min read Jun 16, 2024

Solving the Equation (3x-2)(x+4) = 3x^2

This article will guide you through the steps of solving the equation (3x-2)(x+4) = 3x^2. We will use algebraic manipulation to simplify the equation and find the values of x that satisfy it.

1. Expanding the Left Side

First, we need to expand the left side of the equation by multiplying the two binomials:

(3x - 2)(x + 4) = 3x² + 12x - 2x - 8

Simplifying the expression:

3x² + 10x - 8 = 3x²

2. Simplifying the Equation

Now, we can simplify the equation by subtracting 3x² from both sides:

10x - 8 = 0

3. Isolating x

To isolate x, we need to add 8 to both sides of the equation:

10x = 8

4. Solving for x

Finally, we divide both sides by 10 to find the value of x:

x = 8/10

Simplifying the fraction:

x = 4/5

Conclusion

Therefore, the solution to the equation (3x-2)(x+4) = 3x² is x = 4/5.