(4x^3+5)(4x)-(2x^2-1)(12x^2)=

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Solution for (4x^3+5)(4x)-(2x^2-1)(12x^2)= equation: 


Simplifying
(4x3 + 5)(4x) + -1(2x2 + -1)(12x2) = 0

Reorder the terms:
(5 + 4x3)(4x) + -1(2x2 + -1)(12x2) = 0

Remove parenthesis around (4x)
(5 + 4x3) * 4x + -1(2x2 + -1)(12x2) = 0

Reorder the terms for easier multiplication:
4x(5 + 4x3) + -1(2x2 + -1)(12x2) = 0
(5 * 4x + 4x3 * 4x) + -1(2x2 + -1)(12x2) = 0
(20x + 16x4) + -1(2x2 + -1)(12x2) = 0

Reorder the terms:
20x + 16x4 + -1(-1 + 2x2)(12x2) = 0

Remove parenthesis around (12x2)
20x + 16x4 + -1(-1 + 2x2) * 12x2 = 0

Reorder the terms for easier multiplication:
20x + 16x4 + -1 * 12x2(-1 + 2x2) = 0

Multiply -1 * 12
20x + 16x4 + -12x2(-1 + 2x2) = 0
20x + 16x4 + (-1 * -12x2 + 2x2 * -12x2) = 0
20x + 16x4 + (12x2 + -24x4) = 0

Reorder the terms:
20x + 12x2 + 16x4 + -24x4 = 0

Combine like terms: 16x4 + -24x4 = -8x4
20x + 12x2 + -8x4 = 0

Solving
20x + 12x2 + -8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + 3x + -2x3) = 0

Ignore the factor 4.

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 '(5 + 3x + -2x3)' equal to zero and attempt to solve:

Simplifying
5 + 3x + -2x3 = 0

Solving
5 + 3x + -2x3 = 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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