(2x-8)(5x+2x)=0

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Solution for (2x-8)(5x+2x)=0 equation: 


Simplifying
(2x + -8)(5x + 2x) = 0

Reorder the terms:
(-8 + 2x)(5x + 2x) = 0

Combine like terms: 5x + 2x = 7x
(-8 + 2x)(7x) = 0

Remove parenthesis around (7x)
(-8 + 2x) * 7x = 0

Reorder the terms for easier multiplication:
7x(-8 + 2x) = 0
(-8 * 7x + 2x * 7x) = 0
(-56x + 14x2) = 0

Solving
-56x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14x'.
14x(-4 + x) = 0

Ignore the factor 14.

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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 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 + x = 0 + 4

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

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

Simplifying
x = 4
Solution
x = {0, 4}

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