(4x^3+5)(18x)-(9x^2-4)(12x^2)=

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Solution for (4x^3+5)(18x)-(9x^2-4)(12x^2)= equation: 


Simplifying
(4x3 + 5)(18x) + -1(9x2 + -4)(12x2) = 0

Reorder the terms:
(5 + 4x3)(18x) + -1(9x2 + -4)(12x2) = 0

Remove parenthesis around (18x)
(5 + 4x3) * 18x + -1(9x2 + -4)(12x2) = 0

Reorder the terms for easier multiplication:
18x(5 + 4x3) + -1(9x2 + -4)(12x2) = 0
(5 * 18x + 4x3 * 18x) + -1(9x2 + -4)(12x2) = 0
(90x + 72x4) + -1(9x2 + -4)(12x2) = 0

Reorder the terms:
90x + 72x4 + -1(-4 + 9x2)(12x2) = 0

Remove parenthesis around (12x2)
90x + 72x4 + -1(-4 + 9x2) * 12x2 = 0

Reorder the terms for easier multiplication:
90x + 72x4 + -1 * 12x2(-4 + 9x2) = 0

Multiply -1 * 12
90x + 72x4 + -12x2(-4 + 9x2) = 0
90x + 72x4 + (-4 * -12x2 + 9x2 * -12x2) = 0
90x + 72x4 + (48x2 + -108x4) = 0

Reorder the terms:
90x + 48x2 + 72x4 + -108x4 = 0

Combine like terms: 72x4 + -108x4 = -36x4
90x + 48x2 + -36x4 = 0

Solving
90x + 48x2 + -36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(15 + 8x + -6x3) = 0

Ignore the factor 6.

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 + 8x + -6x3)' equal to zero and attempt to solve:

Simplifying
15 + 8x + -6x3 = 0

Solving
15 + 8x + -6x3 = 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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