(2x)(x-20)=0

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Solution for (2x)(x-20)=0 equation: 


Simplifying
(2x)(x + -20) = 0

Remove parenthesis around (2x)
2x(x + -20) = 0

Reorder the terms:
2x(-20 + x) = 0
(-20 * 2x + x * 2x) = 0
(-40x + 2x2) = 0

Solving
-40x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-20 + x) = 0

Ignore the factor 2.

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 '(-20 + x)' equal to zero and attempt to solve:

Simplifying
-20 + x = 0

Solving
-20 + x = 0

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

Add '20' to each side of the equation.
-20 + 20 + x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x = 0 + 20
x = 0 + 20

Combine like terms: 0 + 20 = 20
x = 20

Simplifying
x = 20
Solution
x = {0, 20}

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