(x-10)(10x)=0

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


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

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

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

Reorder the terms for easier multiplication:
10x(-10 + x) = 0
(-10 * 10x + x * 10x) = 0
(-100x + 10x2) = 0

Solving
-100x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-10 + x) = 0

Ignore the factor 10.

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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {0, 10}

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