(5x^2+7x)(12x^2-5x-3)=0

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Solution for (5x^2+7x)(12x^2-5x-3)=0 equation: 


Simplifying
(5x2 + 7x)(12x2 + -5x + -3) = 0

Reorder the terms:
(7x + 5x2)(12x2 + -5x + -3) = 0

Reorder the terms:
(7x + 5x2)(-3 + -5x + 12x2) = 0

Multiply (7x + 5x2) * (-3 + -5x + 12x2)
(7x * (-3 + -5x + 12x2) + 5x2 * (-3 + -5x + 12x2)) = 0
((-3 * 7x + -5x * 7x + 12x2 * 7x) + 5x2 * (-3 + -5x + 12x2)) = 0
((-21x + -35x2 + 84x3) + 5x2 * (-3 + -5x + 12x2)) = 0
(-21x + -35x2 + 84x3 + (-3 * 5x2 + -5x * 5x2 + 12x2 * 5x2)) = 0
(-21x + -35x2 + 84x3 + (-15x2 + -25x3 + 60x4)) = 0

Reorder the terms:
(-21x + -35x2 + -15x2 + 84x3 + -25x3 + 60x4) = 0

Combine like terms: -35x2 + -15x2 = -50x2
(-21x + -50x2 + 84x3 + -25x3 + 60x4) = 0

Combine like terms: 84x3 + -25x3 = 59x3
(-21x + -50x2 + 59x3 + 60x4) = 0

Solving
-21x + -50x2 + 59x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-21 + -50x + 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 '(-21 + -50x + 59x2 + 60x3)' equal to zero and attempt to solve:

Simplifying
-21 + -50x + 59x2 + 60x3 = 0

Solving
-21 + -50x + 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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