5x(x-8)4(x-8)=0

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Solution for 5x(x-8)4(x-8)=0 equation: 


Simplifying
5x(x + -8) * 4(x + -8) = 0

Reorder the terms:
5x(-8 + x) * 4(x + -8) = 0

Reorder the terms:
5x(-8 + x) * 4(-8 + x) = 0

Reorder the terms for easier multiplication:
5 * 4x(-8 + x)(-8 + x) = 0

Multiply 5 * 4
20x(-8 + x)(-8 + x) = 0

Multiply (-8 + x) * (-8 + x)
20x(-8(-8 + x) + x(-8 + x)) = 0
20x((-8 * -8 + x * -8) + x(-8 + x)) = 0
20x((64 + -8x) + x(-8 + x)) = 0
20x(64 + -8x + (-8 * x + x * x)) = 0
20x(64 + -8x + (-8x + x2)) = 0

Combine like terms: -8x + -8x = -16x
20x(64 + -16x + x2) = 0
(64 * 20x + -16x * 20x + x2 * 20x) = 0
(1280x + -320x2 + 20x3) = 0

Solving
1280x + -320x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(64 + -16x + x2) = 0

Factor a trinomial.
20x((8 + -1x)(8 + -1x)) = 0

Ignore the factor 20.

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

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

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

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

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

Simplifying
x = 8

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

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

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

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

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

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

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