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

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


Simplifying
(2x2 + 5x)(12x2 + -5x + -3) = 0

Reorder the terms:
(5x + 2x2)(12x2 + -5x + -3) = 0

Reorder the terms:
(5x + 2x2)(-3 + -5x + 12x2) = 0

Multiply (5x + 2x2) * (-3 + -5x + 12x2)
(5x * (-3 + -5x + 12x2) + 2x2 * (-3 + -5x + 12x2)) = 0
((-3 * 5x + -5x * 5x + 12x2 * 5x) + 2x2 * (-3 + -5x + 12x2)) = 0
((-15x + -25x2 + 60x3) + 2x2 * (-3 + -5x + 12x2)) = 0
(-15x + -25x2 + 60x3 + (-3 * 2x2 + -5x * 2x2 + 12x2 * 2x2)) = 0
(-15x + -25x2 + 60x3 + (-6x2 + -10x3 + 24x4)) = 0

Reorder the terms:
(-15x + -25x2 + -6x2 + 60x3 + -10x3 + 24x4) = 0

Combine like terms: -25x2 + -6x2 = -31x2
(-15x + -31x2 + 60x3 + -10x3 + 24x4) = 0

Combine like terms: 60x3 + -10x3 = 50x3
(-15x + -31x2 + 50x3 + 24x4) = 0

Solving
-15x + -31x2 + 50x3 + 24x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + -31x + 50x2 + 24x3) = 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 '(-15 + -31x + 50x2 + 24x3)' equal to zero and attempt to solve:

Simplifying
-15 + -31x + 50x2 + 24x3 = 0

Solving
-15 + -31x + 50x2 + 24x3 = 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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