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