25x^4-49y^8=

Solution for 25x^4-49y^8= equation:

Simplifying
25x4 + -49y8 = 0

Solving
25x4 + -49y8 = 0

Solving for variable 'x'.

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

Add '49y8' to each side of the equation.
25x4 + -49y8 + 49y8 = 0 + 49y8

Combine like terms: -49y8 + 49y8 = 0
25x4 + 0 = 0 + 49y8
25x4 = 0 + 49y8
Remove the zero:
25x4 = 49y8

Divide each side by '25'.
x4 = 1.96y8

Simplifying
x4 = 1.96y8

Combine like terms: 1.96y8 + -1.96y8 = 0.00
x4 + -1.96y8 = 0.00

Factor a difference between two squares.
(x2 + 1.4y4)(x2 + -1.4y4) = 0.00

Subproblem 1
Set the factor '(x2 + 1.4y4)' equal to zero and attempt to solve:

Simplifying
x2 + 1.4y4 = 0

Solving
x2 + 1.4y4 = 0

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

Add '-1.4y4' to each side of the equation.
x2 + 1.4y4 + -1.4y4 = 0 + -1.4y4

Combine like terms: 1.4y4 + -1.4y4 = 0.0
x2 + 0.0 = 0 + -1.4y4
x2 = 0 + -1.4y4
Remove the zero:
x2 = -1.4y4

Simplifying
x2 = -1.4y4

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 '(x2 + -1.4y4)' equal to zero and attempt to solve:

Simplifying
x2 + -1.4y4 = 0

Solving
x2 + -1.4y4 = 0

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

Add '1.4y4' to each side of the equation.
x2 + -1.4y4 + 1.4y4 = 0 + 1.4y4

Combine like terms: -1.4y4 + 1.4y4 = 0.0
x2 + 0.0 = 0 + 1.4y4
x2 = 0 + 1.4y4
Remove the zero:
x2 = 1.4y4

Simplifying
x2 = 1.4y4

Take the square root of each side:
x = {-1.183215957y2, 1.183215957y2}
Solution
x = {-1.183215957y2, 1.183215957y2}