(2x+250)(2x)=0

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Solution for (2x+250)(2x)=0 equation: 


Simplifying
(2x + 250)(2x) = 0

Reorder the terms:
(250 + 2x)(2x) = 0

Remove parenthesis around (2x)
(250 + 2x) * 2x = 0

Reorder the terms for easier multiplication:
2x(250 + 2x) = 0
(250 * 2x + 2x * 2x) = 0
(500x + 4x2) = 0

Solving
500x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(125 + x) = 0

Ignore the factor 4.

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

Simplifying
125 + x = 0

Solving
125 + x = 0

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

Add '-125' to each side of the equation.
125 + -125 + x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + x = 0 + -125
x = 0 + -125

Combine like terms: 0 + -125 = -125
x = -125

Simplifying
x = -125
Solution
x = {0, -125}

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