2x(x-5x-50)=0

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Solution for 2x(x-5x-50)=0 equation: 


Simplifying
2x(x + -5x + -50) = 0

Reorder the terms:
2x(-50 + x + -5x) = 0

Combine like terms: x + -5x = -4x
2x(-50 + -4x) = 0
(-50 * 2x + -4x * 2x) = 0
(-100x + -8x2) = 0

Solving
-100x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(25 + 2x) = 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 '(25 + 2x)' equal to zero and attempt to solve:

Simplifying
25 + 2x = 0

Solving
25 + 2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 0 + -25
2x = 0 + -25

Combine like terms: 0 + -25 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5
Solution
x = {0, -12.5}

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