Answer:
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.