(2x-10)(5x+x)=0

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Solution for (2x-10)(5x+x)=0 equation: 


Simplifying
(2x + -10)(5x + x) = 0

Reorder the terms:
(-10 + 2x)(5x + x) = 0

Combine like terms: 5x + x = 6x
(-10 + 2x)(6x) = 0

Remove parenthesis around (6x)
(-10 + 2x) * 6x = 0

Reorder the terms for easier multiplication:
6x(-10 + 2x) = 0
(-10 * 6x + 2x * 6x) = 0
(-60x + 12x2) = 0

Solving
-60x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-5 + x) = 0

Ignore the factor 12.

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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}

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