(3x^2+4x)(20x^2-7x-3)=0

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Solution for (3x^2+4x)(20x^2-7x-3)=0 equation: 


Simplifying
(3x2 + 4x)(20x2 + -7x + -3) = 0

Reorder the terms:
(4x + 3x2)(20x2 + -7x + -3) = 0

Reorder the terms:
(4x + 3x2)(-3 + -7x + 20x2) = 0

Multiply (4x + 3x2) * (-3 + -7x + 20x2)
(4x * (-3 + -7x + 20x2) + 3x2 * (-3 + -7x + 20x2)) = 0
((-3 * 4x + -7x * 4x + 20x2 * 4x) + 3x2 * (-3 + -7x + 20x2)) = 0
((-12x + -28x2 + 80x3) + 3x2 * (-3 + -7x + 20x2)) = 0
(-12x + -28x2 + 80x3 + (-3 * 3x2 + -7x * 3x2 + 20x2 * 3x2)) = 0
(-12x + -28x2 + 80x3 + (-9x2 + -21x3 + 60x4)) = 0

Reorder the terms:
(-12x + -28x2 + -9x2 + 80x3 + -21x3 + 60x4) = 0

Combine like terms: -28x2 + -9x2 = -37x2
(-12x + -37x2 + 80x3 + -21x3 + 60x4) = 0

Combine like terms: 80x3 + -21x3 = 59x3
(-12x + -37x2 + 59x3 + 60x4) = 0

Solving
-12x + -37x2 + 59x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -37x + 59x2 + 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 '(-12 + -37x + 59x2 + 60x3)' equal to zero and attempt to solve:

Simplifying
-12 + -37x + 59x2 + 60x3 = 0

Solving
-12 + -37x + 59x2 + 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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