6(x^3+2)-4(7-x^4)=3x-16

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Solution for 6(x^3+2)-4(7-x^4)=3x-16 equation: 


Simplifying
6(x3 + 2) + -4(7 + -1x4) = 3x + -16

Reorder the terms:
6(2 + x3) + -4(7 + -1x4) = 3x + -16
(2 * 6 + x3 * 6) + -4(7 + -1x4) = 3x + -16
(12 + 6x3) + -4(7 + -1x4) = 3x + -16
12 + 6x3 + (7 * -4 + -1x4 * -4) = 3x + -16
12 + 6x3 + (-28 + 4x4) = 3x + -16

Reorder the terms:
12 + -28 + 6x3 + 4x4 = 3x + -16

Combine like terms: 12 + -28 = -16
-16 + 6x3 + 4x4 = 3x + -16

Reorder the terms:
-16 + 6x3 + 4x4 = -16 + 3x

Add '16' to each side of the equation.
-16 + 6x3 + 16 + 4x4 = -16 + 16 + 3x

Reorder the terms:
-16 + 16 + 6x3 + 4x4 = -16 + 16 + 3x

Combine like terms: -16 + 16 = 0
0 + 6x3 + 4x4 = -16 + 16 + 3x
6x3 + 4x4 = -16 + 16 + 3x

Combine like terms: -16 + 16 = 0
6x3 + 4x4 = 0 + 3x
6x3 + 4x4 = 3x

Solving
6x3 + 4x4 = 3x

Solving for variable 'x'.

Reorder the terms:
-3x + 6x3 + 4x4 = 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + 6x3 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 6x2 + 4x3) = 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 '(-3 + 6x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-3 + 6x2 + 4x3 = 0

Solving
-3 + 6x2 + 4x3 = 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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