Question

Solve the following equation by factoring . Show all work it all steps
6x² -7x = 10

Answer 1

Explanation:

To solve the equation 6x² - 7x = 10 by factoring, we need to rearrange the equation to have zero on one side:

6x² - 7x - 10 = 0

Now let's factor the quadratic expression:

(2x + 5)(3x - 2) = 0

To find the values of x, we set each factor equal to zero and solve for x:

2x + 5 = 0 or 3x - 2 = 0

For 2x + 5 = 0: 2x = -5 x = -5/2

For 3x - 2 = 0: 3x = 2 x = 2/3

Therefore, the solutions to the equation 6x² - 7x = 10 are x = -5/2 and x = 2/3.