x^2+18x+36=6x

Solution for x^2+18x+36=6x equation:

Simplifying
x2 + 18x + 36 = 6x

Reorder the terms:
36 + 18x + x2 = 6x

Solving
36 + 18x + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
36 + 18x + -6x + x2 = 6x + -6x

Combine like terms: 18x + -6x = 12x
36 + 12x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
36 + 12x + x2 = 0

Factor a trinomial.
(6 + x)(6 + x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-6, -6}