=(5x^3-3X)(63x^5-90x^3+35x)

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Solution for =(5x^3-3X)(63x^5-90x^3+35x) equation: 


Simplifying
0 = (5x3 + -3X)(63x5 + -90x3 + 35x)

Reorder the terms:
0 = (-3X + 5x3)(63x5 + -90x3 + 35x)

Reorder the terms:
0 = (-3X + 5x3)(35x + -90x3 + 63x5)

Multiply (-3X + 5x3) * (35x + -90x3 + 63x5)
0 = (-3X * (35x + -90x3 + 63x5) + 5x3 * (35x + -90x3 + 63x5))
0 = ((35x * -3X + -90x3 * -3X + 63x5 * -3X) + 5x3 * (35x + -90x3 + 63x5))
0 = ((-105xX + 270x3X + -189x5X) + 5x3 * (35x + -90x3 + 63x5))
0 = (-105xX + 270x3X + -189x5X + (35x * 5x3 + -90x3 * 5x3 + 63x5 * 5x3))
0 = (-105xX + 270x3X + -189x5X + (175x4 + -450x6 + 315x8))

Reorder the terms:
0 = (-105xX + 270x3X + 175x4 + -189x5X + -450x6 + 315x8)
0 = (-105xX + 270x3X + 175x4 + -189x5X + -450x6 + 315x8)

Solving
0 = -105xX + 270x3X + 175x4 + -189x5X + -450x6 + 315x8

Solving for variable 'x'.
Remove the zero:
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = -105xX + 270x3X + 175x4 + -189x5X + -450x6 + 315x8 + 105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8

Reorder the terms:
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = -105xX + 105xX + 270x3X + -270x3X + 175x4 + -175x4 + -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8

Combine like terms: -105xX + 105xX = 0
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 0 + 270x3X + -270x3X + 175x4 + -175x4 + -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 270x3X + -270x3X + 175x4 + -175x4 + -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8

Combine like terms: 270x3X + -270x3X = 0
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 0 + 175x4 + -175x4 + -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 175x4 + -175x4 + -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8

Combine like terms: 175x4 + -175x4 = 0
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 0 + -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = -189x5X + 189x5X + -450x6 + 450x6 + 315x8 + -315x8

Combine like terms: -189x5X + 189x5X = 0
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 0 + -450x6 + 450x6 + 315x8 + -315x8
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = -450x6 + 450x6 + 315x8 + -315x8

Combine like terms: -450x6 + 450x6 = 0
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 0 + 315x8 + -315x8
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 315x8 + -315x8

Combine like terms: 315x8 + -315x8 = 0
105xX + -270x3X + -175x4 + 189x5X + 450x6 + -315x8 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(105X + -270x2X + -175x3 + 189x4X + 450x5 + -315x7) = 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 '(105X + -270x2X + -175x3 + 189x4X + 450x5 + -315x7)' equal to zero and attempt to solve:

Simplifying
105X + -270x2X + -175x3 + 189x4X + 450x5 + -315x7 = 0

Solving
105X + -270x2X + -175x3 + 189x4X + 450x5 + -315x7 = 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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