(5x^2+8x)(20x^2-3x-2)=0

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Solution for (5x^2+8x)(20x^2-3x-2)=0 equation: 


Simplifying
(5x2 + 8x)(20x2 + -3x + -2) = 0

Reorder the terms:
(8x + 5x2)(20x2 + -3x + -2) = 0

Reorder the terms:
(8x + 5x2)(-2 + -3x + 20x2) = 0

Multiply (8x + 5x2) * (-2 + -3x + 20x2)
(8x * (-2 + -3x + 20x2) + 5x2 * (-2 + -3x + 20x2)) = 0
((-2 * 8x + -3x * 8x + 20x2 * 8x) + 5x2 * (-2 + -3x + 20x2)) = 0
((-16x + -24x2 + 160x3) + 5x2 * (-2 + -3x + 20x2)) = 0
(-16x + -24x2 + 160x3 + (-2 * 5x2 + -3x * 5x2 + 20x2 * 5x2)) = 0
(-16x + -24x2 + 160x3 + (-10x2 + -15x3 + 100x4)) = 0

Reorder the terms:
(-16x + -24x2 + -10x2 + 160x3 + -15x3 + 100x4) = 0

Combine like terms: -24x2 + -10x2 = -34x2
(-16x + -34x2 + 160x3 + -15x3 + 100x4) = 0

Combine like terms: 160x3 + -15x3 = 145x3
(-16x + -34x2 + 145x3 + 100x4) = 0

Solving
-16x + -34x2 + 145x3 + 100x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + -34x + 145x2 + 100x3) = 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 + -34x + 145x2 + 100x3)' equal to zero and attempt to solve:

Simplifying
-16 + -34x + 145x2 + 100x3 = 0

Solving
-16 + -34x + 145x2 + 100x3 = 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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