25x^4-36=0

Solution for 25x^4-36=0 equation:

Simplifying
25x4 + -36 = 0

Reorder the terms:
-36 + 25x4 = 0

Solving
-36 + 25x4 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 25x4 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25x4 = 0 + 36
25x4 = 0 + 36

Combine like terms: 0 + 36 = 36
25x4 = 36

Divide each side by '25'.
x4 = 1.44

Simplifying
x4 = 1.44

Reorder the terms:
-1.44 + x4 = 1.44 + -1.44

Combine like terms: 1.44 + -1.44 = 0.00
-1.44 + x4 = 0.00

Factor a difference between two squares.
(1.2 + x2)(-1.2 + x2) = 0.00

Subproblem 1
Set the factor '(1.2 + x2)' equal to zero and attempt to solve:

Simplifying
1.2 + x2 = 0

Solving
1.2 + x2 = 0

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + x2 = 0 + -1.2
x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
x2 = -1.2

Simplifying
x2 = -1.2

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 '(-1.2 + x2)' equal to zero and attempt to solve:

Simplifying
-1.2 + x2 = 0

Solving
-1.2 + x2 = 0

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

Add '1.2' to each side of the equation.
-1.2 + 1.2 + x2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + x2 = 0 + 1.2
x2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
x2 = 1.2

Simplifying
x2 = 1.2

Take the square root of each side:
x = {-1.095445115, 1.095445115}
Solution
x = {-1.095445115, 1.095445115}