2x^2+18x=-63

Solution for 2x^2+18x=-63 equation:

Simplifying
2x2 + 18x = -63

Reorder the terms:
18x + 2x2 = -63

Solving
18x + 2x2 = -63

Solving for variable 'x'.

Reorder the terms:
63 + 18x + 2x2 = -63 + 63

Combine like terms: -63 + 63 = 0
63 + 18x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
31.5 + 9x + x2 = 0

Move the constant term to the right:

Add '-31.5' to each side of the equation.
31.5 + 9x + -31.5 + x2 = 0 + -31.5

Reorder the terms:
31.5 + -31.5 + 9x + x2 = 0 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + 9x + x2 = 0 + -31.5
9x + x2 = 0 + -31.5

Combine like terms: 0 + -31.5 = -31.5
9x + x2 = -31.5

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -31.5 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -31.5 + 20.25

Combine like terms: -31.5 + 20.25 = -11.25
20.25 + 9x + x2 = -11.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -11.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.