(4x^2+5x)(25x^2-15x-4)=0

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Solution for (4x^2+5x)(25x^2-15x-4)=0 equation:


Simplifying
(4x2 + 5x)(25x2 + -15x + -4) = 0

Reorder the terms:
(5x + 4x2)(25x2 + -15x + -4) = 0

Reorder the terms:
(5x + 4x2)(-4 + -15x + 25x2) = 0

Multiply (5x + 4x2) * (-4 + -15x + 25x2)
(5x * (-4 + -15x + 25x2) + 4x2 * (-4 + -15x + 25x2)) = 0
((-4 * 5x + -15x * 5x + 25x2 * 5x) + 4x2 * (-4 + -15x + 25x2)) = 0
((-20x + -75x2 + 125x3) + 4x2 * (-4 + -15x + 25x2)) = 0
(-20x + -75x2 + 125x3 + (-4 * 4x2 + -15x * 4x2 + 25x2 * 4x2)) = 0
(-20x + -75x2 + 125x3 + (-16x2 + -60x3 + 100x4)) = 0

Reorder the terms:
(-20x + -75x2 + -16x2 + 125x3 + -60x3 + 100x4) = 0

Combine like terms: -75x2 + -16x2 = -91x2
(-20x + -91x2 + 125x3 + -60x3 + 100x4) = 0

Combine like terms: 125x3 + -60x3 = 65x3
(-20x + -91x2 + 65x3 + 100x4) = 0

Solving
-20x + -91x2 + 65x3 + 100x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + -91x + 65x2 + 100x3) = 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 '(-20 + -91x + 65x2 + 100x3)' equal to zero and attempt to solve: Simplifying -20 + -91x + 65x2 + 100x3 = 0 Solving -20 + -91x + 65x2 + 100x3 = 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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