0=3x^4+4x^2-15

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Solution for 0=3x^4+4x^2-15 equation: 


Simplifying
0 = 3x4 + 4x2 + -15

Reorder the terms:
0 = -15 + 4x2 + 3x4

Solving
0 = -15 + 4x2 + 3x4

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -4x2 + -3x4 = -15 + 4x2 + 3x4 + 15 + -4x2 + -3x4

Reorder the terms:
15 + -4x2 + -3x4 = -15 + 15 + 4x2 + -4x2 + 3x4 + -3x4

Combine like terms: -15 + 15 = 0
15 + -4x2 + -3x4 = 0 + 4x2 + -4x2 + 3x4 + -3x4
15 + -4x2 + -3x4 = 4x2 + -4x2 + 3x4 + -3x4

Combine like terms: 4x2 + -4x2 = 0
15 + -4x2 + -3x4 = 0 + 3x4 + -3x4
15 + -4x2 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
15 + -4x2 + -3x4 = 0

Factor a trinomial.
(5 + -3x2)(3 + x2) = 0


Subproblem 1
Set the factor '(5 + -3x2)' equal to zero and attempt to solve:

Simplifying
5 + -3x2 = 0

Solving
5 + -3x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x2 = 0 + -5
-3x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3x2 = -5

Divide each side by '-3'.
x2 = 1.666666667

Simplifying
x2 = 1.666666667

Take the square root of each side:
x = {-1.290994449, 1.290994449}

Subproblem 2
Set the factor '(3 + x2)' equal to zero and attempt to solve:

Simplifying
3 + x2 = 0

Solving
3 + x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + x2 = 0 + -3

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

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

Simplifying
x2 = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-1.290994449, 1.290994449}

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