30=x^4+7x^2

Solution for 30=x^4+7x^2 equation:

Simplifying
30 = x4 + 7x2

Reorder the terms:
30 = 7x2 + x4

Solving
30 = 7x2 + x4

Solving for variable 'x'.

Reorder the terms:
30 + -7x2 + -1x4 = 7x2 + -7x2 + x4 + -1x4

Combine like terms: 7x2 + -7x2 = 0
30 + -7x2 + -1x4 = 0 + x4 + -1x4
30 + -7x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
30 + -7x2 + -1x4 = 0

Factor a trinomial.
(3 + -1x2)(10 + x2) = 0

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

Simplifying
3 + -1x2 = 0

Solving
3 + -1x2 = 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 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = 0 + -3
-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 = -3

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}
Subproblem 2
Set the factor '(10 + x2)' equal to zero and attempt to solve:

Simplifying
10 + x2 = 0

Solving
10 + x2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x2 = 0 + -10
x2 = 0 + -10

Combine like terms: 0 + -10 = -10
x2 = -10

Simplifying
x2 = -10

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-1.732050808, 1.732050808}