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

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


Simplifying
6x(x + -6y)(x + -6y) = 0

Multiply (x + -6y) * (x + -6y)
6x(x(x + -6y) + -6y * (x + -6y)) = 0
6x((x * x + -6y * x) + -6y * (x + -6y)) = 0

Reorder the terms:
6x((-6xy + x2) + -6y * (x + -6y)) = 0
6x((-6xy + x2) + -6y * (x + -6y)) = 0
6x(-6xy + x2 + (x * -6y + -6y * -6y)) = 0
6x(-6xy + x2 + (-6xy + 36y2)) = 0

Reorder the terms:
6x(-6xy + -6xy + x2 + 36y2) = 0

Combine like terms: -6xy + -6xy = -12xy
6x(-12xy + x2 + 36y2) = 0
(-12xy * 6x + x2 * 6x + 36y2 * 6x) = 0

Reorder the terms:
(216xy2 + -72x2y + 6x3) = 0
(216xy2 + -72x2y + 6x3) = 0

Solving
216xy2 + -72x2y + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(36y2 + -12xy + x2) = 0

Factor a trinomial.
6x((6y + -1x)(6y + -1x)) = 0

Ignore the factor 6.

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 '(6y + -1x)' equal to zero and attempt to solve:

Simplifying
6y + -1x = 0

Reorder the terms:
-1x + 6y = 0

Solving
-1x + 6y = 0

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

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 0 + -6y
-1x = 0 + -6y
Remove the zero:
-1x = -6y

Divide each side by '-1'.
x = 6y

Simplifying
x = 6y

Subproblem 3
Set the factor '(6y + -1x)' equal to zero and attempt to solve:

Simplifying
6y + -1x = 0

Reorder the terms:
-1x + 6y = 0

Solving
-1x + 6y = 0

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

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 0 + -6y
-1x = 0 + -6y
Remove the zero:
-1x = -6y

Divide each side by '-1'.
x = 6y

Simplifying
x = 6y
Solution
x = {0, 6y, 6y}

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