0=3x^4+6x^2

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Solution for 0=3x^4+6x^2 equation: 


Simplifying
0 = 3x4 + 6x2

Reorder the terms:
0 = 6x2 + 3x4

Solving
0 = 6x2 + 3x4

Solving for variable 'x'.
Remove the zero:
-6x2 + -3x4 = 6x2 + 3x4 + -6x2 + -3x4

Reorder the terms:
-6x2 + -3x4 = 6x2 + -6x2 + 3x4 + -3x4

Combine like terms: 6x2 + -6x2 = 0
-6x2 + -3x4 = 0 + 3x4 + -3x4
-6x2 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
-6x2 + -3x4 = 0

Factor out the Greatest Common Factor (GCF), '-3x2'.
-3x2(2 + x2) = 0

Ignore the factor -3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(2 + x2)' equal to zero and attempt to solve:

Simplifying
2 + x2 = 0

Solving
2 + x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x2 = 0 + -2
x2 = 0 + -2

Combine like terms: 0 + -2 = -2
x2 = -2

Simplifying
x2 = -2

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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