0=-7x^4-30x^2+25

Solution for 0=-7x^4-30x^2+25 equation:

Simplifying
0 = -7x4 + -30x2 + 25

Reorder the terms:
0 = 25 + -30x2 + -7x4

Solving
0 = 25 + -30x2 + -7x4

Solving for variable 'x'.

Combine like terms: 0 + -25 = -25
-25 + 30x2 + 7x4 = 25 + -30x2 + -7x4 + -25 + 30x2 + 7x4

Reorder the terms:
-25 + 30x2 + 7x4 = 25 + -25 + -30x2 + 30x2 + -7x4 + 7x4

Combine like terms: 25 + -25 = 0
-25 + 30x2 + 7x4 = 0 + -30x2 + 30x2 + -7x4 + 7x4
-25 + 30x2 + 7x4 = -30x2 + 30x2 + -7x4 + 7x4

Combine like terms: -30x2 + 30x2 = 0
-25 + 30x2 + 7x4 = 0 + -7x4 + 7x4
-25 + 30x2 + 7x4 = -7x4 + 7x4

Combine like terms: -7x4 + 7x4 = 0
-25 + 30x2 + 7x4 = 0

Factor a trinomial.
(-5 + -1x2)(5 + -7x2) = 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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(5 + -7x2)' equal to zero and attempt to solve:

Simplifying
5 + -7x2 = 0

Solving
5 + -7x2 = 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 + -7x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x2 = 0 + -5
-7x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-7x2 = -5

Divide each side by '-7'.
x2 = 0.7142857143

Simplifying
x2 = 0.7142857143

Take the square root of each side:
x = {-0.845154255, 0.845154255}
Solution
x = {-0.845154255, 0.845154255}