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

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


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

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

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

Multiply (-5x + 2x2) * (-2 + -5x + 12x2)
(-5x * (-2 + -5x + 12x2) + 2x2 * (-2 + -5x + 12x2)) = 0
((-2 * -5x + -5x * -5x + 12x2 * -5x) + 2x2 * (-2 + -5x + 12x2)) = 0
((10x + 25x2 + -60x3) + 2x2 * (-2 + -5x + 12x2)) = 0
(10x + 25x2 + -60x3 + (-2 * 2x2 + -5x * 2x2 + 12x2 * 2x2)) = 0
(10x + 25x2 + -60x3 + (-4x2 + -10x3 + 24x4)) = 0

Reorder the terms:
(10x + 25x2 + -4x2 + -60x3 + -10x3 + 24x4) = 0

Combine like terms: 25x2 + -4x2 = 21x2
(10x + 21x2 + -60x3 + -10x3 + 24x4) = 0

Combine like terms: -60x3 + -10x3 = -70x3
(10x + 21x2 + -70x3 + 24x4) = 0

Solving
10x + 21x2 + -70x3 + 24x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + 21x + -70x2 + 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 '(10 + 21x + -70x2 + 24x3)' equal to zero and attempt to solve:

Simplifying
10 + 21x + -70x2 + 24x3 = 0

Solving
10 + 21x + -70x2 + 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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