16x^4-25y^6=0

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Solution for 16x^4-25y^6=0 equation:


Simplifying
16x4 + -25y6 = 0

Solving
16x4 + -25y6 = 0

Solving for variable 'x'.

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

Add '25y6' to each side of the equation.
16x4 + -25y6 + 25y6 = 0 + 25y6

Combine like terms: -25y6 + 25y6 = 0
16x4 + 0 = 0 + 25y6
16x4 = 0 + 25y6
Remove the zero:
16x4 = 25y6

Divide each side by '16'.
x4 = 1.5625y6

Simplifying
x4 = 1.5625y6

Combine like terms: 1.5625y6 + -1.5625y6 = 0.0000
x4 + -1.5625y6 = 0.0000

Factor a difference between two squares.
(x2 + 1.25y3)(x2 + -1.25y3) = 0.0000

Subproblem 1

Set the factor '(x2 + 1.25y3)' equal to zero and attempt to solve: Simplifying x2 + 1.25y3 = 0 Solving x2 + 1.25y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.25y3' to each side of the equation. x2 + 1.25y3 + -1.25y3 = 0 + -1.25y3 Combine like terms: 1.25y3 + -1.25y3 = 0.00 x2 + 0.00 = 0 + -1.25y3 x2 = 0 + -1.25y3 Remove the zero: x2 = -1.25y3 Simplifying x2 = -1.25y3 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 + -1.25y3)' equal to zero and attempt to solve: Simplifying x2 + -1.25y3 = 0 Solving x2 + -1.25y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.25y3' to each side of the equation. x2 + -1.25y3 + 1.25y3 = 0 + 1.25y3 Combine like terms: -1.25y3 + 1.25y3 = 0.00 x2 + 0.00 = 0 + 1.25y3 x2 = 0 + 1.25y3 Remove the zero: x2 = 1.25y3 Simplifying x2 = 1.25y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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