12x^4-5x^2-25=0solve

Solution for 12x^4-5x^2-25=0solve equation:

Simplifying
12x4 + -5x2 + -25 = 0solve

Reorder the terms:
-25 + -5x2 + 12x4 = 0solve

Anything times zero is zero.
-25 + -5x2 + 12x4 = 0elosv

Solving
-25 + -5x2 + 12x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -4x2)(5 + -3x2) = 0

Subproblem 1
Set the factor '(-5 + -4x2)' equal to zero and attempt to solve:

Simplifying
-5 + -4x2 = 0

Solving
-5 + -4x2 = 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 + -4x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x2 = 0 + 5
-4x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-4x2 = 5

Divide each side by '-4'.
x2 = -1.25

Simplifying
x2 = -1.25

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 + -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}
Solution
x = {-1.290994449, 1.290994449}