x(2x-5)(x^2-3)(5x^3-8)=0

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Solution for x(2x-5)(x^2-3)(5x^3-8)=0 equation:


Simplifying
x(2x + -5)(x2 + -3)(5x3 + -8) = 0

Reorder the terms:
x(-5 + 2x)(x2 + -3)(5x3 + -8) = 0

Reorder the terms:
x(-5 + 2x)(-3 + x2)(5x3 + -8) = 0

Reorder the terms:
x(-5 + 2x)(-3 + x2)(-8 + 5x3) = 0

Multiply (-5 + 2x) * (-3 + x2)
x(-5(-3 + x2) + 2x * (-3 + x2))(-8 + 5x3) = 0
x((-3 * -5 + x2 * -5) + 2x * (-3 + x2))(-8 + 5x3) = 0
x((15 + -5x2) + 2x * (-3 + x2))(-8 + 5x3) = 0
x(15 + -5x2 + (-3 * 2x + x2 * 2x))(-8 + 5x3) = 0
x(15 + -5x2 + (-6x + 2x3))(-8 + 5x3) = 0

Reorder the terms:
x(15 + -6x + -5x2 + 2x3)(-8 + 5x3) = 0
x(15 + -6x + -5x2 + 2x3)(-8 + 5x3) = 0

Multiply (15 + -6x + -5x2 + 2x3) * (-8 + 5x3)
x(15(-8 + 5x3) + -6x * (-8 + 5x3) + -5x2 * (-8 + 5x3) + 2x3 * (-8 + 5x3)) = 0
x((-8 * 15 + 5x3 * 15) + -6x * (-8 + 5x3) + -5x2 * (-8 + 5x3) + 2x3 * (-8 + 5x3)) = 0
x((-120 + 75x3) + -6x * (-8 + 5x3) + -5x2 * (-8 + 5x3) + 2x3 * (-8 + 5x3)) = 0
x(-120 + 75x3 + (-8 * -6x + 5x3 * -6x) + -5x2 * (-8 + 5x3) + 2x3 * (-8 + 5x3)) = 0
x(-120 + 75x3 + (48x + -30x4) + -5x2 * (-8 + 5x3) + 2x3 * (-8 + 5x3)) = 0
x(-120 + 75x3 + 48x + -30x4 + (-8 * -5x2 + 5x3 * -5x2) + 2x3 * (-8 + 5x3)) = 0
x(-120 + 75x3 + 48x + -30x4 + (40x2 + -25x5) + 2x3 * (-8 + 5x3)) = 0
x(-120 + 75x3 + 48x + -30x4 + 40x2 + -25x5 + (-8 * 2x3 + 5x3 * 2x3)) = 0
x(-120 + 75x3 + 48x + -30x4 + 40x2 + -25x5 + (-16x3 + 10x6)) = 0

Reorder the terms:
x(-120 + 48x + 40x2 + 75x3 + -16x3 + -30x4 + -25x5 + 10x6) = 0

Combine like terms: 75x3 + -16x3 = 59x3
x(-120 + 48x + 40x2 + 59x3 + -30x4 + -25x5 + 10x6) = 0
(-120 * x + 48x * x + 40x2 * x + 59x3 * x + -30x4 * x + -25x5 * x + 10x6 * x) = 0
(-120x + 48x2 + 40x3 + 59x4 + -30x5 + -25x6 + 10x7) = 0

Solving
-120x + 48x2 + 40x3 + 59x4 + -30x5 + -25x6 + 10x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-120 + 48x + 40x2 + 59x3 + -30x4 + -25x5 + 10x6) = 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 '(-120 + 48x + 40x2 + 59x3 + -30x4 + -25x5 + 10x6)' equal to zero and attempt to solve: Simplifying -120 + 48x + 40x2 + 59x3 + -30x4 + -25x5 + 10x6 = 0 Solving -120 + 48x + 40x2 + 59x3 + -30x4 + -25x5 + 10x6 = 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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