(x)=3x^4-9x^3-12x^2

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


Simplifying
(x) = 3x4 + -9x3 + -12x2
x = 3x4 + -9x3 + -12x2

Reorder the terms:
x = -12x2 + -9x3 + 3x4

Solving
x = -12x2 + -9x3 + 3x4

Solving for variable 'x'.

Reorder the terms:
x + 12x2 + 9x3 + -3x4 = -12x2 + 12x2 + -9x3 + 9x3 + 3x4 + -3x4

Combine like terms: -12x2 + 12x2 = 0
x + 12x2 + 9x3 + -3x4 = 0 + -9x3 + 9x3 + 3x4 + -3x4
x + 12x2 + 9x3 + -3x4 = -9x3 + 9x3 + 3x4 + -3x4

Combine like terms: -9x3 + 9x3 = 0
x + 12x2 + 9x3 + -3x4 = 0 + 3x4 + -3x4
x + 12x2 + 9x3 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
x + 12x2 + 9x3 + -3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 12x + 9x2 + -3x3) = 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 '(1 + 12x + 9x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
1 + 12x + 9x2 + -3x3 = 0

Solving
1 + 12x + 9x2 + -3x3 = 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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