(4x^3+7)(6x)-(3x^2-5)(12x^2)=

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Solution for (4x^3+7)(6x)-(3x^2-5)(12x^2)= equation: 


Simplifying
(4x3 + 7)(6x) + -1(3x2 + -5)(12x2) = 0

Reorder the terms:
(7 + 4x3)(6x) + -1(3x2 + -5)(12x2) = 0

Remove parenthesis around (6x)
(7 + 4x3) * 6x + -1(3x2 + -5)(12x2) = 0

Reorder the terms for easier multiplication:
6x(7 + 4x3) + -1(3x2 + -5)(12x2) = 0
(7 * 6x + 4x3 * 6x) + -1(3x2 + -5)(12x2) = 0
(42x + 24x4) + -1(3x2 + -5)(12x2) = 0

Reorder the terms:
42x + 24x4 + -1(-5 + 3x2)(12x2) = 0

Remove parenthesis around (12x2)
42x + 24x4 + -1(-5 + 3x2) * 12x2 = 0

Reorder the terms for easier multiplication:
42x + 24x4 + -1 * 12x2(-5 + 3x2) = 0

Multiply -1 * 12
42x + 24x4 + -12x2(-5 + 3x2) = 0
42x + 24x4 + (-5 * -12x2 + 3x2 * -12x2) = 0
42x + 24x4 + (60x2 + -36x4) = 0

Reorder the terms:
42x + 60x2 + 24x4 + -36x4 = 0

Combine like terms: 24x4 + -36x4 = -12x4
42x + 60x2 + -12x4 = 0

Solving
42x + 60x2 + -12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(7 + 10x + -2x3) = 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 '(7 + 10x + -2x3)' equal to zero and attempt to solve:

Simplifying
7 + 10x + -2x3 = 0

Solving
7 + 10x + -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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