(5x^2+8x)(25x^2-5x-2)=0

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Solution for (5x^2+8x)(25x^2-5x-2)=0 equation: 


Simplifying
(5x2 + 8x)(25x2 + -5x + -2) = 0

Reorder the terms:
(8x + 5x2)(25x2 + -5x + -2) = 0

Reorder the terms:
(8x + 5x2)(-2 + -5x + 25x2) = 0

Multiply (8x + 5x2) * (-2 + -5x + 25x2)
(8x * (-2 + -5x + 25x2) + 5x2 * (-2 + -5x + 25x2)) = 0
((-2 * 8x + -5x * 8x + 25x2 * 8x) + 5x2 * (-2 + -5x + 25x2)) = 0
((-16x + -40x2 + 200x3) + 5x2 * (-2 + -5x + 25x2)) = 0
(-16x + -40x2 + 200x3 + (-2 * 5x2 + -5x * 5x2 + 25x2 * 5x2)) = 0
(-16x + -40x2 + 200x3 + (-10x2 + -25x3 + 125x4)) = 0

Reorder the terms:
(-16x + -40x2 + -10x2 + 200x3 + -25x3 + 125x4) = 0

Combine like terms: -40x2 + -10x2 = -50x2
(-16x + -50x2 + 200x3 + -25x3 + 125x4) = 0

Combine like terms: 200x3 + -25x3 = 175x3
(-16x + -50x2 + 175x3 + 125x4) = 0

Solving
-16x + -50x2 + 175x3 + 125x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + -50x + 175x2 + 125x3) = 0


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 '(-16 + -50x + 175x2 + 125x3)' equal to zero and attempt to solve:

Simplifying
-16 + -50x + 175x2 + 125x3 = 0

Solving
-16 + -50x + 175x2 + 125x3 = 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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