x(x^3-1)(3x-5)(2x^3+3)=0

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Solution for x(x^3-1)(3x-5)(2x^3+3)=0 equation:


Simplifying
x(x3 + -1)(3x + -5)(2x3 + 3) = 0

Reorder the terms:
x(-1 + x3)(3x + -5)(2x3 + 3) = 0

Reorder the terms:
x(-1 + x3)(-5 + 3x)(2x3 + 3) = 0

Reorder the terms:
x(-1 + x3)(-5 + 3x)(3 + 2x3) = 0

Multiply (-1 + x3) * (-5 + 3x)
x(-1(-5 + 3x) + x3(-5 + 3x))(3 + 2x3) = 0
x((-5 * -1 + 3x * -1) + x3(-5 + 3x))(3 + 2x3) = 0
x((5 + -3x) + x3(-5 + 3x))(3 + 2x3) = 0
x(5 + -3x + (-5 * x3 + 3x * x3))(3 + 2x3) = 0
x(5 + -3x + (-5x3 + 3x4))(3 + 2x3) = 0
x(5 + -3x + -5x3 + 3x4)(3 + 2x3) = 0

Multiply (5 + -3x + -5x3 + 3x4) * (3 + 2x3)
x(5(3 + 2x3) + -3x * (3 + 2x3) + -5x3 * (3 + 2x3) + 3x4 * (3 + 2x3)) = 0
x((3 * 5 + 2x3 * 5) + -3x * (3 + 2x3) + -5x3 * (3 + 2x3) + 3x4 * (3 + 2x3)) = 0
x((15 + 10x3) + -3x * (3 + 2x3) + -5x3 * (3 + 2x3) + 3x4 * (3 + 2x3)) = 0
x(15 + 10x3 + (3 * -3x + 2x3 * -3x) + -5x3 * (3 + 2x3) + 3x4 * (3 + 2x3)) = 0
x(15 + 10x3 + (-9x + -6x4) + -5x3 * (3 + 2x3) + 3x4 * (3 + 2x3)) = 0
x(15 + 10x3 + -9x + -6x4 + (3 * -5x3 + 2x3 * -5x3) + 3x4 * (3 + 2x3)) = 0
x(15 + 10x3 + -9x + -6x4 + (-15x3 + -10x6) + 3x4 * (3 + 2x3)) = 0
x(15 + 10x3 + -9x + -6x4 + -15x3 + -10x6 + (3 * 3x4 + 2x3 * 3x4)) = 0
x(15 + 10x3 + -9x + -6x4 + -15x3 + -10x6 + (9x4 + 6x7)) = 0

Reorder the terms:
x(15 + -9x + 10x3 + -15x3 + -6x4 + 9x4 + -10x6 + 6x7) = 0

Combine like terms: 10x3 + -15x3 = -5x3
x(15 + -9x + -5x3 + -6x4 + 9x4 + -10x6 + 6x7) = 0

Combine like terms: -6x4 + 9x4 = 3x4
x(15 + -9x + -5x3 + 3x4 + -10x6 + 6x7) = 0
(15 * x + -9x * x + -5x3 * x + 3x4 * x + -10x6 * x + 6x7 * x) = 0
(15x + -9x2 + -5x4 + 3x5 + -10x7 + 6x8) = 0

Solving
15x + -9x2 + -5x4 + 3x5 + -10x7 + 6x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + -9x + -5x3 + 3x4 + -10x6 + 6x7) = 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 '(15 + -9x + -5x3 + 3x4 + -10x6 + 6x7)' equal to zero and attempt to solve: Simplifying 15 + -9x + -5x3 + 3x4 + -10x6 + 6x7 = 0 Solving 15 + -9x + -5x3 + 3x4 + -10x6 + 6x7 = 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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