Answer:
x = -3 + [tex]\frac{5\sqrt{2} }{2}[/tex], -3 - [tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Step 1: Isolate x's
2x² + 12x = 7
Step 2: Factor
2(x² + 6x) = 7
x² + 6x = 7/2
Step 3: Complete the Square
x² + 6x + 9 = 7/2 + 9
(x + 3)² = 25/2
Step 4: Solve for x
√(x + 3)² = √25/2
x + 3 = 5√2/2
x = -3 ± 5√2/2
