(2x^2+5x)(20x^2-3x-2)=0

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Solution for (2x^2+5x)(20x^2-3x-2)=0 equation:


Simplifying
(2x2 + 5x)(20x2 + -3x + -2) = 0

Reorder the terms:
(5x + 2x2)(20x2 + -3x + -2) = 0

Reorder the terms:
(5x + 2x2)(-2 + -3x + 20x2) = 0

Multiply (5x + 2x2) * (-2 + -3x + 20x2)
(5x * (-2 + -3x + 20x2) + 2x2 * (-2 + -3x + 20x2)) = 0
((-2 * 5x + -3x * 5x + 20x2 * 5x) + 2x2 * (-2 + -3x + 20x2)) = 0
((-10x + -15x2 + 100x3) + 2x2 * (-2 + -3x + 20x2)) = 0
(-10x + -15x2 + 100x3 + (-2 * 2x2 + -3x * 2x2 + 20x2 * 2x2)) = 0
(-10x + -15x2 + 100x3 + (-4x2 + -6x3 + 40x4)) = 0

Reorder the terms:
(-10x + -15x2 + -4x2 + 100x3 + -6x3 + 40x4) = 0

Combine like terms: -15x2 + -4x2 = -19x2
(-10x + -19x2 + 100x3 + -6x3 + 40x4) = 0

Combine like terms: 100x3 + -6x3 = 94x3
(-10x + -19x2 + 94x3 + 40x4) = 0

Solving
-10x + -19x2 + 94x3 + 40x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -19x + 94x2 + 40x3) = 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 + -19x + 94x2 + 40x3)' equal to zero and attempt to solve: Simplifying -10 + -19x + 94x2 + 40x3 = 0 Solving -10 + -19x + 94x2 + 40x3 = 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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