x=(x-6)(x-6)

Solution for x=(x-6)(x-6) equation:

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

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

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

Multiply (-6 + x) * (-6 + x)
x = (-6(-6 + x) + x(-6 + x))
x = ((-6 * -6 + x * -6) + x(-6 + x))
x = ((36 + -6x) + x(-6 + x))
x = (36 + -6x + (-6 * x + x * x))
x = (36 + -6x + (-6x + x2))

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

Solving
x = 36 + -12x + x2

Solving for variable 'x'.

Reorder the terms:
-36 + x + 12x + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2

Combine like terms: x + 12x = 13x
-36 + 13x + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2

Reorder the terms:
-36 + 13x + -1x2 = 36 + -36 + -12x + 12x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-36 + 13x + -1x2 = 0 + -12x + 12x + x2 + -1x2
-36 + 13x + -1x2 = -12x + 12x + x2 + -1x2

Combine like terms: -12x + 12x = 0
-36 + 13x + -1x2 = 0 + x2 + -1x2
-36 + 13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + 13x + -1x2 = 0

Factor a trinomial.
(-9 + x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {9, 4}