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

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


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

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

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

Multiply (7x + 5x2) * (-2 + -5x + 12x2)
(7x * (-2 + -5x + 12x2) + 5x2 * (-2 + -5x + 12x2)) = 0
((-2 * 7x + -5x * 7x + 12x2 * 7x) + 5x2 * (-2 + -5x + 12x2)) = 0
((-14x + -35x2 + 84x3) + 5x2 * (-2 + -5x + 12x2)) = 0
(-14x + -35x2 + 84x3 + (-2 * 5x2 + -5x * 5x2 + 12x2 * 5x2)) = 0
(-14x + -35x2 + 84x3 + (-10x2 + -25x3 + 60x4)) = 0

Reorder the terms:
(-14x + -35x2 + -10x2 + 84x3 + -25x3 + 60x4) = 0

Combine like terms: -35x2 + -10x2 = -45x2
(-14x + -45x2 + 84x3 + -25x3 + 60x4) = 0

Combine like terms: 84x3 + -25x3 = 59x3
(-14x + -45x2 + 59x3 + 60x4) = 0

Solving
-14x + -45x2 + 59x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + -45x + 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 '(-14 + -45x + 59x2 + 60x3)' equal to zero and attempt to solve: Simplifying -14 + -45x + 59x2 + 60x3 = 0 Solving -14 + -45x + 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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