7x(x-8y)(x-8y)=

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Solution for 7x(x-8y)(x-8y)= equation: 


Simplifying
7x(x + -8y)(x + -8y) = 0

Multiply (x + -8y) * (x + -8y)
7x(x(x + -8y) + -8y * (x + -8y)) = 0
7x((x * x + -8y * x) + -8y * (x + -8y)) = 0

Reorder the terms:
7x((-8xy + x2) + -8y * (x + -8y)) = 0
7x((-8xy + x2) + -8y * (x + -8y)) = 0
7x(-8xy + x2 + (x * -8y + -8y * -8y)) = 0
7x(-8xy + x2 + (-8xy + 64y2)) = 0

Reorder the terms:
7x(-8xy + -8xy + x2 + 64y2) = 0

Combine like terms: -8xy + -8xy = -16xy
7x(-16xy + x2 + 64y2) = 0
(-16xy * 7x + x2 * 7x + 64y2 * 7x) = 0

Reorder the terms:
(448xy2 + -112x2y + 7x3) = 0
(448xy2 + -112x2y + 7x3) = 0

Solving
448xy2 + -112x2y + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(64y2 + -16xy + x2) = 0

Factor a trinomial.
7x((8y + -1x)(8y + -1x)) = 0

Ignore the factor 7.

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 '(8y + -1x)' equal to zero and attempt to solve:

Simplifying
8y + -1x = 0

Reorder the terms:
-1x + 8y = 0

Solving
-1x + 8y = 0

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

Add '-8y' to each side of the equation.
-1x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-1x + 0 = 0 + -8y
-1x = 0 + -8y
Remove the zero:
-1x = -8y

Divide each side by '-1'.
x = 8y

Simplifying
x = 8y

Subproblem 3
Set the factor '(8y + -1x)' equal to zero and attempt to solve:

Simplifying
8y + -1x = 0

Reorder the terms:
-1x + 8y = 0

Solving
-1x + 8y = 0

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

Add '-8y' to each side of the equation.
-1x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-1x + 0 = 0 + -8y
-1x = 0 + -8y
Remove the zero:
-1x = -8y

Divide each side by '-1'.
x = 8y

Simplifying
x = 8y
Solution
x = {0, 8y, 8y}

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