(14x-2x^4-9x)-(12x^4+14x+13x^3)=

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Solution for (14x-2x^4-9x)-(12x^4+14x+13x^3)= equation: 


Simplifying
(14x + -2x4 + -9x) + -1(12x4 + 14x + 13x3) = 0

Reorder the terms:
(14x + -9x + -2x4) + -1(12x4 + 14x + 13x3) = 0

Combine like terms: 14x + -9x = 5x
(5x + -2x4) + -1(12x4 + 14x + 13x3) = 0

Remove parenthesis around (5x + -2x4)
5x + -2x4 + -1(12x4 + 14x + 13x3) = 0

Reorder the terms:
5x + -2x4 + -1(14x + 13x3 + 12x4) = 0
5x + -2x4 + (14x * -1 + 13x3 * -1 + 12x4 * -1) = 0
5x + -2x4 + (-14x + -13x3 + -12x4) = 0

Reorder the terms:
5x + -14x + -13x3 + -2x4 + -12x4 = 0

Combine like terms: 5x + -14x = -9x
-9x + -13x3 + -2x4 + -12x4 = 0

Combine like terms: -2x4 + -12x4 = -14x4
-9x + -13x3 + -14x4 = 0

Solving
-9x + -13x3 + -14x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(9 + 13x2 + 14x3) = 0

Ignore the factor -1.

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 '(9 + 13x2 + 14x3)' equal to zero and attempt to solve:

Simplifying
9 + 13x2 + 14x3 = 0

Solving
9 + 13x2 + 14x3 = 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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