16x^6-9y^2=0

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Solution for 16x^6-9y^2=0 equation:


Simplifying
16x6 + -9y2 = 0

Solving
16x6 + -9y2 = 0

Solving for variable 'x'.

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

Add '9y2' to each side of the equation.
16x6 + -9y2 + 9y2 = 0 + 9y2

Combine like terms: -9y2 + 9y2 = 0
16x6 + 0 = 0 + 9y2
16x6 = 0 + 9y2
Remove the zero:
16x6 = 9y2

Divide each side by '16'.
x6 = 0.5625y2

Simplifying
x6 = 0.5625y2

Combine like terms: 0.5625y2 + -0.5625y2 = 0.0000
x6 + -0.5625y2 = 0.0000

Factor a difference between two squares.
(x3 + 0.75y)(x3 + -0.75y) = 0.0000

Subproblem 1

Set the factor '(x3 + 0.75y)' equal to zero and attempt to solve: Simplifying x3 + 0.75y = 0 Solving x3 + 0.75y = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.75y' to each side of the equation. x3 + 0.75y + -0.75y = 0 + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 x3 + 0.00 = 0 + -0.75y x3 = 0 + -0.75y Remove the zero: x3 = -0.75y Simplifying x3 = -0.75y 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 '(x3 + -0.75y)' equal to zero and attempt to solve: Simplifying x3 + -0.75y = 0 Solving x3 + -0.75y = 0 Move all terms containing x to the left, all other terms to the right. Add '0.75y' to each side of the equation. x3 + -0.75y + 0.75y = 0 + 0.75y Combine like terms: -0.75y + 0.75y = 0.00 x3 + 0.00 = 0 + 0.75y x3 = 0 + 0.75y Remove the zero: x3 = 0.75y Simplifying x3 = 0.75y 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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