Answer:
No solution
Explanation:
Equation: 3x² + 6x = -18
Divide by 3: x² + 2x = -6
Add: x² + 2x + 6 = 0
Quadratic formula: x = (-2 ± √((-2)² - 4(1)(6))/2
Multiply: x = (-2 ± √(4 - 24))/2
Solve the discriminant: 4 - 24 = -20
When the discriminant is negative, there is no solution because square roots can not be negative.