30=x^2+x^4

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Solution for 30=x^2+x^4 equation: 


Simplifying
30 = x2 + x4

Solving
30 = x2 + x4

Solving for variable 'x'.

Reorder the terms:
30 + -1x2 + -1x4 = x2 + -1x2 + x4 + -1x4

Combine like terms: x2 + -1x2 = 0
30 + -1x2 + -1x4 = 0 + x4 + -1x4
30 + -1x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
30 + -1x2 + -1x4 = 0

Factor a trinomial.
(5 + -1x2)(6 + x2) = 0


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

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 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 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

Subproblem 2
Set the factor '(6 + x2)' equal to zero and attempt to solve:

Simplifying
6 + x2 = 0

Solving
6 + x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + x2 = 0 + -6

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

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

Simplifying
x2 = -6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-2.236067978, 2.236067978}

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