(36-2x)(36-2x)x=0

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Solution for (36-2x)(36-2x)x=0 equation: 


Simplifying
(36 + -2x)(36 + -2x) * x = 0

Reorder the terms for easier multiplication:
x(36 + -2x)(36 + -2x) = 0

Multiply (36 + -2x) * (36 + -2x)
x(36(36 + -2x) + -2x * (36 + -2x)) = 0
x((36 * 36 + -2x * 36) + -2x * (36 + -2x)) = 0
x((1296 + -72x) + -2x * (36 + -2x)) = 0
x(1296 + -72x + (36 * -2x + -2x * -2x)) = 0
x(1296 + -72x + (-72x + 4x2)) = 0

Combine like terms: -72x + -72x = -144x
x(1296 + -144x + 4x2) = 0
(1296 * x + -144x * x + 4x2 * x) = 0
(1296x + -144x2 + 4x3) = 0

Solving
1296x + -144x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(324 + -36x + x2) = 0

Factor a trinomial.
4x((18 + -1x)(18 + -1x)) = 0

Ignore the factor 4.

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 '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

Subproblem 3
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {0, 18, 18}

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