Solve the equation 2x2 + 2x + 12 = 3x2 - x + 2. A. x = 2, x = - 5 B. x = 2, x = 5 C. x = - 5, x = - 2 D. x = - 2, x = 5

2x2-2x-12=0

Use the quadratic formula to find the solutions.

-b±√b2-4 (ac) 2a

Substitute the values a=2

, b=-2, and c=-12 into the quadratic formula and solve for x

.

2±√ (-2) 2-4⋅ (2⋅-12) 2⋅2

Simplify.

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x=1±52

The final answer is the combination of both solutions.

x=3,-2