(5x-10)(25x)=0

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Solution for (5x-10)(25x)=0 equation: 


Simplifying
(5x + -10)(25x) = 0

Reorder the terms:
(-10 + 5x)(25x) = 0

Remove parenthesis around (25x)
(-10 + 5x) * 25x = 0

Reorder the terms for easier multiplication:
25x(-10 + 5x) = 0
(-10 * 25x + 5x * 25x) = 0
(-250x + 125x2) = 0

Solving
-250x + 125x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '125x'.
125x(-2 + x) = 0

Ignore the factor 125.

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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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