(5x^2+8x)(20x^2-11x-4)=0

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Solution for (5x^2+8x)(20x^2-11x-4)=0 equation:


Simplifying
(5x2 + 8x)(20x2 + -11x + -4) = 0

Reorder the terms:
(8x + 5x2)(20x2 + -11x + -4) = 0

Reorder the terms:
(8x + 5x2)(-4 + -11x + 20x2) = 0

Multiply (8x + 5x2) * (-4 + -11x + 20x2)
(8x * (-4 + -11x + 20x2) + 5x2 * (-4 + -11x + 20x2)) = 0
((-4 * 8x + -11x * 8x + 20x2 * 8x) + 5x2 * (-4 + -11x + 20x2)) = 0
((-32x + -88x2 + 160x3) + 5x2 * (-4 + -11x + 20x2)) = 0
(-32x + -88x2 + 160x3 + (-4 * 5x2 + -11x * 5x2 + 20x2 * 5x2)) = 0
(-32x + -88x2 + 160x3 + (-20x2 + -55x3 + 100x4)) = 0

Reorder the terms:
(-32x + -88x2 + -20x2 + 160x3 + -55x3 + 100x4) = 0

Combine like terms: -88x2 + -20x2 = -108x2
(-32x + -108x2 + 160x3 + -55x3 + 100x4) = 0

Combine like terms: 160x3 + -55x3 = 105x3
(-32x + -108x2 + 105x3 + 100x4) = 0

Solving
-32x + -108x2 + 105x3 + 100x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + -108x + 105x2 + 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 '(-32 + -108x + 105x2 + 100x3)' equal to zero and attempt to solve: Simplifying -32 + -108x + 105x2 + 100x3 = 0 Solving -32 + -108x + 105x2 + 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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