9x^2+54x=-81

Solution for 9x^2+54x=-81 equation:

Simplifying
9x2 + 54x = -81

Reorder the terms:
54x + 9x2 = -81

Solving
54x + 9x2 = -81

Solving for variable 'x'.

Reorder the terms:
81 + 54x + 9x2 = -81 + 81

Combine like terms: -81 + 81 = 0
81 + 54x + 9x2 = 0

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

Factor a trinomial.
9((3 + x)(3 + x)) = 0

Ignore the factor 9.
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}