x^2-10x-36=-9x-6

Solution for x^2-10x-36=-9x-6 equation:

Simplifying
x2 + -10x + -36 = -9x + -6

Reorder the terms:
-36 + -10x + x2 = -9x + -6

Reorder the terms:
-36 + -10x + x2 = -6 + -9x

Solving
-36 + -10x + x2 = -6 + -9x

Solving for variable 'x'.

Reorder the terms:
-36 + 6 + -10x + 9x + x2 = -6 + -9x + 6 + 9x

Combine like terms: -36 + 6 = -30
-30 + -10x + 9x + x2 = -6 + -9x + 6 + 9x

Combine like terms: -10x + 9x = -1x
-30 + -1x + x2 = -6 + -9x + 6 + 9x

Reorder the terms:
-30 + -1x + x2 = -6 + 6 + -9x + 9x

Combine like terms: -6 + 6 = 0
-30 + -1x + x2 = 0 + -9x + 9x
-30 + -1x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-30 + -1x + x2 = 0

Factor a trinomial.
(-5 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-5, 6}