Solve 3x^2=-12x-15

x=-4+2i

x=-4+i

x=-2+2i

x=-2+i

x = - 2 + i or x = - 2 - i

Step-by-step explanation:

Solve for x:

3 x^2 = - 12 x - 15

Add 12 x + 15 to both sides:

3 x^2 + 12 x + 15 = 0

Divide both sides by 3:

x^2 + 4 x + 5 = 0

Subtract 5 from both sides:

x^2 + 4 x = - 5

Add 4 to both sides:

x^2 + 4 x + 4 = - 1

Write the left hand side as a square:

(x + 2) ^2 = - 1

Take the square root of both sides:

x + 2 = i or x + 2 = - i

Subtract 2 from both sides:

x = - 2 + i or x + 2 = - i

Subtract 2 from both sides:

Answer: x = - 2 + i or x = - 2 - i