30X^4+25X^2-30=

Solution for 30X^4+25X^2-30= equation:

Simplifying
30X4 + 25X2 + -30 = 0

Reorder the terms:
-30 + 25X2 + 30X4 = 0

Solving
-30 + 25X2 + 30X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 5X2 + 6X4) = 0

Factor a trinomial.
5((-3 + -2X2)(2 + -3X2)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-3 + -2X2)' equal to zero and attempt to solve:

Simplifying
-3 + -2X2 = 0

Solving
-3 + -2X2 = 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 + -2X2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2X2 = 0 + 3
-2X2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2X2 = 3

Divide each side by '-2'.
X2 = -1.5

Simplifying
X2 = -1.5

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 '(2 + -3X2)' equal to zero and attempt to solve:

Simplifying
2 + -3X2 = 0

Solving
2 + -3X2 = 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 + -3X2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3X2 = 0 + -2
-3X2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3X2 = -2

Divide each side by '-3'.
X2 = 0.6666666667

Simplifying
X2 = 0.6666666667

Take the square root of each side:
X = {-0.816496581, 0.816496581}
Solution
X = {-0.816496581, 0.816496581}