x^2-6x=x(6+8)

Solution for x^2-6x=x(6+8) equation:

Simplifying
x2 + -6x = x(6 + 8)

Reorder the terms:
-6x + x2 = x(6 + 8)

Combine like terms: 6 + 8 = 14
-6x + x2 = x(14)

Reorder the terms for easier multiplication:
-6x + x2 = 14x

Solving
-6x + x2 = 14x

Solving for variable 'x'.

Reorder the terms:
-6x + -14x + x2 = 14x + -14x

Combine like terms: -6x + -14x = -20x
-20x + x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
-20x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 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 '(-20 + x)' equal to zero and attempt to solve:

Simplifying
-20 + x = 0

Solving
-20 + x = 0

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

Add '20' to each side of the equation.
-20 + 20 + x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x = 0 + 20
x = 0 + 20

Combine like terms: 0 + 20 = 20
x = 20

Simplifying
x = 20
Solution
x = {0, 20}