Use the quadratic formula to solve, 2x^2=7x+6 Leave your answer in simplified radical form.Please show all your work! (30 points)

2x² = 7x + 6

Subtract both terms so that we can get 0 on one side. 

2x² - 7x - 6 = 0

Find what factors of - 12 (2 * - 6) add up to be - 7. It's - 4 and - 3. 

2x² - 4x - 3x - 6 = 0
2x(x - 2) - 3(x - 2) = 0
(x - 2)(2x - 3) = 0

Now set each equal to 0.

x - 2 = 0
x = 2

2x - 3 = 0
2x = 3
x = 3/2

x = 3/2, 2