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

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


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

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

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

Multiply (-2x + 5x3) * (-8 + x + 3x2)
(-2x * (-8 + x + 3x2) + 5x3 * (-8 + x + 3x2)) = 0
((-8 * -2x + x * -2x + 3x2 * -2x) + 5x3 * (-8 + x + 3x2)) = 0
((16x + -2x2 + -6x3) + 5x3 * (-8 + x + 3x2)) = 0
(16x + -2x2 + -6x3 + (-8 * 5x3 + x * 5x3 + 3x2 * 5x3)) = 0
(16x + -2x2 + -6x3 + (-40x3 + 5x4 + 15x5)) = 0

Combine like terms: -6x3 + -40x3 = -46x3
(16x + -2x2 + -46x3 + 5x4 + 15x5) = 0

Solving
16x + -2x2 + -46x3 + 5x4 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + -2x + -46x2 + 5x3 + 15x4) = 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 '(16 + -2x + -46x2 + 5x3 + 15x4)' equal to zero and attempt to solve: Simplifying 16 + -2x + -46x2 + 5x3 + 15x4 = 0 Solving 16 + -2x + -46x2 + 5x3 + 15x4 = 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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