F(x)=x^6+8x^4+12x^2

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Solution for F(x)=x^6+8x^4+12x^2 equation: 


Simplifying
F(x) = x6 + 8x4 + 12x2

Multiply F * x
xF = x6 + 8x4 + 12x2

Reorder the terms:
xF = 12x2 + 8x4 + x6

Solving
xF = 12x2 + 8x4 + x6

Solving for variable 'x'.

Reorder the terms:
xF + -12x2 + -8x4 + -1x6 = 12x2 + -12x2 + 8x4 + -8x4 + x6 + -1x6

Combine like terms: 12x2 + -12x2 = 0
xF + -12x2 + -8x4 + -1x6 = 0 + 8x4 + -8x4 + x6 + -1x6
xF + -12x2 + -8x4 + -1x6 = 8x4 + -8x4 + x6 + -1x6

Combine like terms: 8x4 + -8x4 = 0
xF + -12x2 + -8x4 + -1x6 = 0 + x6 + -1x6
xF + -12x2 + -8x4 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
xF + -12x2 + -8x4 + -1x6 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + -12x + -8x3 + -1x5) = 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 '(F + -12x + -8x3 + -1x5)' equal to zero and attempt to solve:

Simplifying
F + -12x + -8x3 + -1x5 = 0

Solving
F + -12x + -8x3 + -1x5 = 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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