=(3x^3+7)(12x)-(6x^2-5)(9x^2)

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Solution for =(3x^3+7)(12x)-(6x^2-5)(9x^2) equation: 


Simplifying
0 = (3x3 + 7)(12x) + -1(6x2 + -5)(9x2)

Reorder the terms:
0 = (7 + 3x3)(12x) + -1(6x2 + -5)(9x2)

Remove parenthesis around (12x)
0 = (7 + 3x3) * 12x + -1(6x2 + -5)(9x2)

Reorder the terms for easier multiplication:
0 = 12x(7 + 3x3) + -1(6x2 + -5)(9x2)
0 = (7 * 12x + 3x3 * 12x) + -1(6x2 + -5)(9x2)
0 = (84x + 36x4) + -1(6x2 + -5)(9x2)

Reorder the terms:
0 = 84x + 36x4 + -1(-5 + 6x2)(9x2)

Remove parenthesis around (9x2)
0 = 84x + 36x4 + -1(-5 + 6x2) * 9x2

Reorder the terms for easier multiplication:
0 = 84x + 36x4 + -1 * 9x2(-5 + 6x2)

Multiply -1 * 9
0 = 84x + 36x4 + -9x2(-5 + 6x2)
0 = 84x + 36x4 + (-5 * -9x2 + 6x2 * -9x2)
0 = 84x + 36x4 + (45x2 + -54x4)

Reorder the terms:
0 = 84x + 45x2 + 36x4 + -54x4

Combine like terms: 36x4 + -54x4 = -18x4
0 = 84x + 45x2 + -18x4

Solving
0 = 84x + 45x2 + -18x4

Solving for variable 'x'.
Remove the zero:
-84x + -45x2 + 18x4 = 84x + 45x2 + -18x4 + -84x + -45x2 + 18x4

Reorder the terms:
-84x + -45x2 + 18x4 = 84x + -84x + 45x2 + -45x2 + -18x4 + 18x4

Combine like terms: 84x + -84x = 0
-84x + -45x2 + 18x4 = 0 + 45x2 + -45x2 + -18x4 + 18x4
-84x + -45x2 + 18x4 = 45x2 + -45x2 + -18x4 + 18x4

Combine like terms: 45x2 + -45x2 = 0
-84x + -45x2 + 18x4 = 0 + -18x4 + 18x4
-84x + -45x2 + 18x4 = -18x4 + 18x4

Combine like terms: -18x4 + 18x4 = 0
-84x + -45x2 + 18x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-28 + -15x + 6x3) = 0

Ignore the factor 3.

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 '(-28 + -15x + 6x3)' equal to zero and attempt to solve:

Simplifying
-28 + -15x + 6x3 = 0

Solving
-28 + -15x + 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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