-9=x(x+6)

Solution for -9=x(x+6) equation:

Simplifying
-9 = x(x + 6)

Reorder the terms:
-9 = x(6 + x)
-9 = (6 * x + x * x)
-9 = (6x + x2)

Solving
-9 = 6x + x2

Solving for variable 'x'.

Reorder the terms:
-9 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-9 + -6x + -1x2 = 0 + x2 + -1x2
-9 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6x + x2) = 0

Factor a trinomial.
-1((3 + x)(3 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-3, -3}