x^2-5x-6=5x-6

Solution for x^2-5x-6=5x-6 equation:

Simplifying
x2 + -5x + -6 = 5x + -6

Reorder the terms:
-6 + -5x + x2 = 5x + -6

Reorder the terms:
-6 + -5x + x2 = -6 + 5x

Add '6' to each side of the equation.
-6 + -5x + 6 + x2 = -6 + 6 + 5x

Reorder the terms:
-6 + 6 + -5x + x2 = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + -5x + x2 = -6 + 6 + 5x
-5x + x2 = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
-5x + x2 = 0 + 5x
-5x + x2 = 5x

Solving
-5x + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-5x + -5x + x2 = 5x + -5x

Combine like terms: -5x + -5x = -10x
-10x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-10x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {0, 10}