0=25x^4-144

Solution for 0=25x^4-144 equation:

Simplifying
0 = 25x4 + -144

Reorder the terms:
0 = -144 + 25x4

Solving
0 = -144 + 25x4

Solving for variable 'x'.

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

Add '-25x4' to each side of the equation.
0 + -25x4 = -144 + 25x4 + -25x4
Remove the zero:
-25x4 = -144 + 25x4 + -25x4

Combine like terms: 25x4 + -25x4 = 0
-25x4 = -144 + 0
-25x4 = -144

Divide each side by '-25'.
x4 = 5.76

Simplifying
x4 = 5.76

Reorder the terms:
-5.76 + x4 = 5.76 + -5.76

Combine like terms: 5.76 + -5.76 = 0.00
-5.76 + x4 = 0.00

Factor a difference between two squares.
(2.4 + x2)(-2.4 + x2) = 0.00

Subproblem 1
Set the factor '(2.4 + x2)' equal to zero and attempt to solve:

Simplifying
2.4 + x2 = 0

Solving
2.4 + x2 = 0

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

Add '-2.4' to each side of the equation.
2.4 + -2.4 + x2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + x2 = 0 + -2.4
x2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
x2 = -2.4

Simplifying
x2 = -2.4

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 '(-2.4 + x2)' equal to zero and attempt to solve:

Simplifying
-2.4 + x2 = 0

Solving
-2.4 + x2 = 0

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

Add '2.4' to each side of the equation.
-2.4 + 2.4 + x2 = 0 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + x2 = 0 + 2.4
x2 = 0 + 2.4

Combine like terms: 0 + 2.4 = 2.4
x2 = 2.4

Simplifying
x2 = 2.4

Take the square root of each side:
x = {-1.549193338, 1.549193338}
Solution
x = {-1.549193338, 1.549193338}