x^2+9x+32=0

Solution for x^2+9x+32=0 equation:

Simplifying
x2 + 9x + 32 = 0

Reorder the terms:
32 + 9x + x2 = 0

Solving
32 + 9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + 9x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + 9x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 9x + x2 = 0 + -32
9x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
9x + x2 = -32

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 = -32 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -32 + 20.25

Combine like terms: -32 + 20.25 = -11.75
20.25 + 9x + x2 = -11.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.