(5x^5+6x^3-2x)(-3x^5-4x^3+15x)=

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Solution for (5x^5+6x^3-2x)(-3x^5-4x^3+15x)= equation: 


Simplifying
(5x5 + 6x3 + -2x)(-3x5 + -4x3 + 15x) = 0

Reorder the terms:
(-2x + 6x3 + 5x5)(-3x5 + -4x3 + 15x) = 0

Reorder the terms:
(-2x + 6x3 + 5x5)(15x + -4x3 + -3x5) = 0

Multiply (-2x + 6x3 + 5x5) * (15x + -4x3 + -3x5)
(-2x * (15x + -4x3 + -3x5) + 6x3 * (15x + -4x3 + -3x5) + 5x5 * (15x + -4x3 + -3x5)) = 0
((15x * -2x + -4x3 * -2x + -3x5 * -2x) + 6x3 * (15x + -4x3 + -3x5) + 5x5 * (15x + -4x3 + -3x5)) = 0
((-30x2 + 8x4 + 6x6) + 6x3 * (15x + -4x3 + -3x5) + 5x5 * (15x + -4x3 + -3x5)) = 0
(-30x2 + 8x4 + 6x6 + (15x * 6x3 + -4x3 * 6x3 + -3x5 * 6x3) + 5x5 * (15x + -4x3 + -3x5)) = 0
(-30x2 + 8x4 + 6x6 + (90x4 + -24x6 + -18x8) + 5x5 * (15x + -4x3 + -3x5)) = 0
(-30x2 + 8x4 + 6x6 + 90x4 + -24x6 + -18x8 + (15x * 5x5 + -4x3 * 5x5 + -3x5 * 5x5)) = 0
(-30x2 + 8x4 + 6x6 + 90x4 + -24x6 + -18x8 + (75x6 + -20x8 + -15x10)) = 0

Reorder the terms:
(-30x2 + 8x4 + 90x4 + 6x6 + -24x6 + 75x6 + -18x8 + -20x8 + -15x10) = 0

Combine like terms: 8x4 + 90x4 = 98x4
(-30x2 + 98x4 + 6x6 + -24x6 + 75x6 + -18x8 + -20x8 + -15x10) = 0

Combine like terms: 6x6 + -24x6 = -18x6
(-30x2 + 98x4 + -18x6 + 75x6 + -18x8 + -20x8 + -15x10) = 0

Combine like terms: -18x6 + 75x6 = 57x6
(-30x2 + 98x4 + 57x6 + -18x8 + -20x8 + -15x10) = 0

Combine like terms: -18x8 + -20x8 = -38x8
(-30x2 + 98x4 + 57x6 + -38x8 + -15x10) = 0

Solving
-30x2 + 98x4 + 57x6 + -38x8 + -15x10 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-30 + 98x2 + 57x4 + -38x6 + -15x8) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-30 + 98x2 + 57x4 + -38x6 + -15x8)' equal to zero and attempt to solve:

Simplifying
-30 + 98x2 + 57x4 + -38x6 + -15x8 = 0

Solving
-30 + 98x2 + 57x4 + -38x6 + -15x8 = 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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