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

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


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

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

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

Multiply (5x + 4x2) * (-2 + -5x + 12x2)
(5x * (-2 + -5x + 12x2) + 4x2 * (-2 + -5x + 12x2)) = 0
((-2 * 5x + -5x * 5x + 12x2 * 5x) + 4x2 * (-2 + -5x + 12x2)) = 0
((-10x + -25x2 + 60x3) + 4x2 * (-2 + -5x + 12x2)) = 0
(-10x + -25x2 + 60x3 + (-2 * 4x2 + -5x * 4x2 + 12x2 * 4x2)) = 0
(-10x + -25x2 + 60x3 + (-8x2 + -20x3 + 48x4)) = 0

Reorder the terms:
(-10x + -25x2 + -8x2 + 60x3 + -20x3 + 48x4) = 0

Combine like terms: -25x2 + -8x2 = -33x2
(-10x + -33x2 + 60x3 + -20x3 + 48x4) = 0

Combine like terms: 60x3 + -20x3 = 40x3
(-10x + -33x2 + 40x3 + 48x4) = 0

Solving
-10x + -33x2 + 40x3 + 48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -33x + 40x2 + 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 '(-10 + -33x + 40x2 + 48x3)' equal to zero and attempt to solve: Simplifying -10 + -33x + 40x2 + 48x3 = 0 Solving -10 + -33x + 40x2 + 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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