x(250-2x)=0

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


Simplifying
x(250 + -2x) = 0
(250 * x + -2x * x) = 0
(250x + -2x2) = 0

Solving
250x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(125 + -1x) = 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 '(125 + -1x)' equal to zero and attempt to solve:

Simplifying
125 + -1x = 0

Solving
125 + -1x = 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 + -1x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1x = 0 + -125
-1x = 0 + -125

Combine like terms: 0 + -125 = -125
-1x = -125

Divide each side by '-1'.
x = 125

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

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