25y^4-64=0

Solution for 25y^4-64=0 equation:

Simplifying
25y4 + -64 = 0

Reorder the terms:
-64 + 25y4 = 0

Solving
-64 + 25y4 = 0

Solving for variable 'y'.

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

Add '64' to each side of the equation.
-64 + 64 + 25y4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 25y4 = 0 + 64
25y4 = 0 + 64

Combine like terms: 0 + 64 = 64
25y4 = 64

Divide each side by '25'.
y4 = 2.56

Simplifying
y4 = 2.56

Reorder the terms:
-2.56 + y4 = 2.56 + -2.56

Combine like terms: 2.56 + -2.56 = 0.00
-2.56 + y4 = 0.00

Factor a difference between two squares.
(1.6 + y2)(-1.6 + y2) = 0.00

Subproblem 1
Set the factor '(1.6 + y2)' equal to zero and attempt to solve:

Simplifying
1.6 + y2 = 0

Solving
1.6 + y2 = 0

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + y2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + y2 = 0 + -1.6
y2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
y2 = -1.6

Simplifying
y2 = -1.6

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 '(-1.6 + y2)' equal to zero and attempt to solve:

Simplifying
-1.6 + y2 = 0

Solving
-1.6 + y2 = 0

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + y2 = 0 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + y2 = 0 + 1.6
y2 = 0 + 1.6

Combine like terms: 0 + 1.6 = 1.6
y2 = 1.6

Simplifying
y2 = 1.6

Take the square root of each side:
y = {-1.264911064, 1.264911064}
Solution
y = {-1.264911064, 1.264911064}