(4x^2+7x)(12x^2-5x-2)=0

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Solution for (4x^2+7x)(12x^2-5x-2)=0 equation: 


Simplifying
(4x2 + 7x)(12x2 + -5x + -2) = 0

Reorder the terms:
(7x + 4x2)(12x2 + -5x + -2) = 0

Reorder the terms:
(7x + 4x2)(-2 + -5x + 12x2) = 0

Multiply (7x + 4x2) * (-2 + -5x + 12x2)
(7x * (-2 + -5x + 12x2) + 4x2 * (-2 + -5x + 12x2)) = 0
((-2 * 7x + -5x * 7x + 12x2 * 7x) + 4x2 * (-2 + -5x + 12x2)) = 0
((-14x + -35x2 + 84x3) + 4x2 * (-2 + -5x + 12x2)) = 0
(-14x + -35x2 + 84x3 + (-2 * 4x2 + -5x * 4x2 + 12x2 * 4x2)) = 0
(-14x + -35x2 + 84x3 + (-8x2 + -20x3 + 48x4)) = 0

Reorder the terms:
(-14x + -35x2 + -8x2 + 84x3 + -20x3 + 48x4) = 0

Combine like terms: -35x2 + -8x2 = -43x2
(-14x + -43x2 + 84x3 + -20x3 + 48x4) = 0

Combine like terms: 84x3 + -20x3 = 64x3
(-14x + -43x2 + 64x3 + 48x4) = 0

Solving
-14x + -43x2 + 64x3 + 48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + -43x + 64x2 + 48x3) = 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 '(-14 + -43x + 64x2 + 48x3)' equal to zero and attempt to solve:

Simplifying
-14 + -43x + 64x2 + 48x3 = 0

Solving
-14 + -43x + 64x2 + 48x3 = 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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