(5x^2+6x)(20x^2-3x-2)=0

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Solution for (5x^2+6x)(20x^2-3x-2)=0 equation: 


Simplifying
(5x2 + 6x)(20x2 + -3x + -2) = 0

Reorder the terms:
(6x + 5x2)(20x2 + -3x + -2) = 0

Reorder the terms:
(6x + 5x2)(-2 + -3x + 20x2) = 0

Multiply (6x + 5x2) * (-2 + -3x + 20x2)
(6x * (-2 + -3x + 20x2) + 5x2 * (-2 + -3x + 20x2)) = 0
((-2 * 6x + -3x * 6x + 20x2 * 6x) + 5x2 * (-2 + -3x + 20x2)) = 0
((-12x + -18x2 + 120x3) + 5x2 * (-2 + -3x + 20x2)) = 0
(-12x + -18x2 + 120x3 + (-2 * 5x2 + -3x * 5x2 + 20x2 * 5x2)) = 0
(-12x + -18x2 + 120x3 + (-10x2 + -15x3 + 100x4)) = 0

Reorder the terms:
(-12x + -18x2 + -10x2 + 120x3 + -15x3 + 100x4) = 0

Combine like terms: -18x2 + -10x2 = -28x2
(-12x + -28x2 + 120x3 + -15x3 + 100x4) = 0

Combine like terms: 120x3 + -15x3 = 105x3
(-12x + -28x2 + 105x3 + 100x4) = 0

Solving
-12x + -28x2 + 105x3 + 100x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -28x + 105x2 + 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 '(-12 + -28x + 105x2 + 100x3)' equal to zero and attempt to solve:

Simplifying
-12 + -28x + 105x2 + 100x3 = 0

Solving
-12 + -28x + 105x2 + 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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