(3x^2+8x)(20x^2-7x-3)=0

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Solution for (3x^2+8x)(20x^2-7x-3)=0 equation: 


Simplifying
(3x2 + 8x)(20x2 + -7x + -3) = 0

Reorder the terms:
(8x + 3x2)(20x2 + -7x + -3) = 0

Reorder the terms:
(8x + 3x2)(-3 + -7x + 20x2) = 0

Multiply (8x + 3x2) * (-3 + -7x + 20x2)
(8x * (-3 + -7x + 20x2) + 3x2 * (-3 + -7x + 20x2)) = 0
((-3 * 8x + -7x * 8x + 20x2 * 8x) + 3x2 * (-3 + -7x + 20x2)) = 0
((-24x + -56x2 + 160x3) + 3x2 * (-3 + -7x + 20x2)) = 0
(-24x + -56x2 + 160x3 + (-3 * 3x2 + -7x * 3x2 + 20x2 * 3x2)) = 0
(-24x + -56x2 + 160x3 + (-9x2 + -21x3 + 60x4)) = 0

Reorder the terms:
(-24x + -56x2 + -9x2 + 160x3 + -21x3 + 60x4) = 0

Combine like terms: -56x2 + -9x2 = -65x2
(-24x + -65x2 + 160x3 + -21x3 + 60x4) = 0

Combine like terms: 160x3 + -21x3 = 139x3
(-24x + -65x2 + 139x3 + 60x4) = 0

Solving
-24x + -65x2 + 139x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + -65x + 139x2 + 60x3) = 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 '(-24 + -65x + 139x2 + 60x3)' equal to zero and attempt to solve:

Simplifying
-24 + -65x + 139x2 + 60x3 = 0

Solving
-24 + -65x + 139x2 + 60x3 = 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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