x^2-6x+2=2

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

Simplifying
x2 + -6x + 2 = 2

Reorder the terms:
2 + -6x + x2 = 2

Add '-2' to each side of the equation.
2 + -6x + -2 + x2 = 2 + -2

Reorder the terms:
2 + -2 + -6x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -6x + x2 = 2 + -2
-6x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-6x + x2 = 0

Solving
-6x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 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 '(-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 = {0, 6}