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

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


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

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

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

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

Multiply (5 + x) * (-5 + x)
5x(5(-5 + x) + x(-5 + x))(-2 + 5x) = 0
5x((-5 * 5 + x * 5) + x(-5 + x))(-2 + 5x) = 0
5x((-25 + 5x) + x(-5 + x))(-2 + 5x) = 0
5x(-25 + 5x + (-5 * x + x * x))(-2 + 5x) = 0
5x(-25 + 5x + (-5x + x2))(-2 + 5x) = 0

Combine like terms: 5x + -5x = 0
5x(-25 + 0 + x2)(-2 + 5x) = 0
5x(-25 + x2)(-2 + 5x) = 0

Multiply (-25 + x2) * (-2 + 5x)
5x(-25(-2 + 5x) + x2(-2 + 5x)) = 0
5x((-2 * -25 + 5x * -25) + x2(-2 + 5x)) = 0
5x((50 + -125x) + x2(-2 + 5x)) = 0
5x(50 + -125x + (-2 * x2 + 5x * x2)) = 0
5x(50 + -125x + (-2x2 + 5x3)) = 0
5x(50 + -125x + -2x2 + 5x3) = 0
(50 * 5x + -125x * 5x + -2x2 * 5x + 5x3 * 5x) = 0
(250x + -625x2 + -10x3 + 25x4) = 0

Solving
250x + -625x2 + -10x3 + 25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(50 + -125x + -2x2 + 5x3) = 0

Ignore the factor 5.

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 '(50 + -125x + -2x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
50 + -125x + -2x2 + 5x3 = 0

Solving
50 + -125x + -2x2 + 5x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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