16x^4-9y^4=0

Solution for 16x^4-9y^4=0 equation:

Simplifying
16x4 + -9y4 = 0

Solving
16x4 + -9y4 = 0

Solving for variable 'x'.

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

Add '9y4' to each side of the equation.
16x4 + -9y4 + 9y4 = 0 + 9y4

Combine like terms: -9y4 + 9y4 = 0
16x4 + 0 = 0 + 9y4
16x4 = 0 + 9y4
Remove the zero:
16x4 = 9y4

Divide each side by '16'.
x4 = 0.5625y4

Simplifying
x4 = 0.5625y4

Combine like terms: 0.5625y4 + -0.5625y4 = 0.0000
x4 + -0.5625y4 = 0.0000

Factor a difference between two squares.
(x2 + 0.75y2)(x2 + -0.75y2) = 0.0000

Subproblem 1
Set the factor '(x2 + 0.75y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.75y2 = 0

Solving
x2 + 0.75y2 = 0

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

Add '-0.75y2' to each side of the equation.
x2 + 0.75y2 + -0.75y2 = 0 + -0.75y2

Combine like terms: 0.75y2 + -0.75y2 = 0.00
x2 + 0.00 = 0 + -0.75y2
x2 = 0 + -0.75y2
Remove the zero:
x2 = -0.75y2

Simplifying
x2 = -0.75y2

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 + -0.75y2)' equal to zero and attempt to solve:

Simplifying
x2 + -0.75y2 = 0

Solving
x2 + -0.75y2 = 0

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

Add '0.75y2' to each side of the equation.
x2 + -0.75y2 + 0.75y2 = 0 + 0.75y2

Combine like terms: -0.75y2 + 0.75y2 = 0.00
x2 + 0.00 = 0 + 0.75y2
x2 = 0 + 0.75y2
Remove the zero:
x2 = 0.75y2

Simplifying
x2 = 0.75y2

Take the square root of each side:
x = {-0.866025404y, 0.866025404y}
Solution
x = {-0.866025404y, 0.866025404y}