(-5x^4+8x^3-4x)(-5x^4+4x^3+2)=

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Solution for (-5x^4+8x^3-4x)(-5x^4+4x^3+2)= equation: 


Simplifying
(-5x4 + 8x3 + -4x)(-5x4 + 4x3 + 2) = 0

Reorder the terms:
(-4x + 8x3 + -5x4)(-5x4 + 4x3 + 2) = 0

Reorder the terms:
(-4x + 8x3 + -5x4)(2 + 4x3 + -5x4) = 0

Multiply (-4x + 8x3 + -5x4) * (2 + 4x3 + -5x4)
(-4x * (2 + 4x3 + -5x4) + 8x3 * (2 + 4x3 + -5x4) + -5x4 * (2 + 4x3 + -5x4)) = 0
((2 * -4x + 4x3 * -4x + -5x4 * -4x) + 8x3 * (2 + 4x3 + -5x4) + -5x4 * (2 + 4x3 + -5x4)) = 0
((-8x + -16x4 + 20x5) + 8x3 * (2 + 4x3 + -5x4) + -5x4 * (2 + 4x3 + -5x4)) = 0
(-8x + -16x4 + 20x5 + (2 * 8x3 + 4x3 * 8x3 + -5x4 * 8x3) + -5x4 * (2 + 4x3 + -5x4)) = 0
(-8x + -16x4 + 20x5 + (16x3 + 32x6 + -40x7) + -5x4 * (2 + 4x3 + -5x4)) = 0
(-8x + -16x4 + 20x5 + 16x3 + 32x6 + -40x7 + (2 * -5x4 + 4x3 * -5x4 + -5x4 * -5x4)) = 0
(-8x + -16x4 + 20x5 + 16x3 + 32x6 + -40x7 + (-10x4 + -20x7 + 25x8)) = 0

Reorder the terms:
(-8x + 16x3 + -16x4 + -10x4 + 20x5 + 32x6 + -40x7 + -20x7 + 25x8) = 0

Combine like terms: -16x4 + -10x4 = -26x4
(-8x + 16x3 + -26x4 + 20x5 + 32x6 + -40x7 + -20x7 + 25x8) = 0

Combine like terms: -40x7 + -20x7 = -60x7
(-8x + 16x3 + -26x4 + 20x5 + 32x6 + -60x7 + 25x8) = 0

Solving
-8x + 16x3 + -26x4 + 20x5 + 32x6 + -60x7 + 25x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 16x2 + -26x3 + 20x4 + 32x5 + -60x6 + 25x7) = 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 '(-8 + 16x2 + -26x3 + 20x4 + 32x5 + -60x6 + 25x7)' equal to zero and attempt to solve:

Simplifying
-8 + 16x2 + -26x3 + 20x4 + 32x5 + -60x6 + 25x7 = 0

Solving
-8 + 16x2 + -26x3 + 20x4 + 32x5 + -60x6 + 25x7 = 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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