(4x^3+8x^2-5x)(x^2-3)=0

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Solution for (4x^3+8x^2-5x)(x^2-3)=0 equation: 


Simplifying
(4x3 + 8x2 + -5x)(x2 + -3) = 0

Reorder the terms:
(-5x + 8x2 + 4x3)(x2 + -3) = 0

Reorder the terms:
(-5x + 8x2 + 4x3)(-3 + x2) = 0

Multiply (-5x + 8x2 + 4x3) * (-3 + x2)
(-5x * (-3 + x2) + 8x2 * (-3 + x2) + 4x3 * (-3 + x2)) = 0
((-3 * -5x + x2 * -5x) + 8x2 * (-3 + x2) + 4x3 * (-3 + x2)) = 0
((15x + -5x3) + 8x2 * (-3 + x2) + 4x3 * (-3 + x2)) = 0
(15x + -5x3 + (-3 * 8x2 + x2 * 8x2) + 4x3 * (-3 + x2)) = 0
(15x + -5x3 + (-24x2 + 8x4) + 4x3 * (-3 + x2)) = 0
(15x + -5x3 + -24x2 + 8x4 + (-3 * 4x3 + x2 * 4x3)) = 0
(15x + -5x3 + -24x2 + 8x4 + (-12x3 + 4x5)) = 0

Reorder the terms:
(15x + -24x2 + -5x3 + -12x3 + 8x4 + 4x5) = 0

Combine like terms: -5x3 + -12x3 = -17x3
(15x + -24x2 + -17x3 + 8x4 + 4x5) = 0

Solving
15x + -24x2 + -17x3 + 8x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + -24x + -17x2 + 8x3 + 4x4) = 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 + -24x + -17x2 + 8x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
15 + -24x + -17x2 + 8x3 + 4x4 = 0

Solving
15 + -24x + -17x2 + 8x3 + 4x4 = 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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