9x^2y^2-16w^6=

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


Simplifying
9x2y2 + -16w6 = 0

Reorder the terms:
-16w6 + 9x2y2 = 0

Solving
-16w6 + 9x2y2 = 0

Solving for variable 'w'.

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

Add '-9x2y2' to each side of the equation.
-16w6 + 9x2y2 + -9x2y2 = 0 + -9x2y2

Combine like terms: 9x2y2 + -9x2y2 = 0
-16w6 + 0 = 0 + -9x2y2
-16w6 = 0 + -9x2y2
Remove the zero:
-16w6 = -9x2y2

Divide each side by '-16'.
w6 = 0.5625x2y2

Simplifying
w6 = 0.5625x2y2

Combine like terms: 0.5625x2y2 + -0.5625x2y2 = 0.0000
w6 + -0.5625x2y2 = 0.0000

Factor a difference between two squares.
(w3 + 0.75xy)(w3 + -0.75xy) = 0.0000

Subproblem 1

Set the factor '(w3 + 0.75xy)' equal to zero and attempt to solve: Simplifying w3 + 0.75xy = 0 Solving w3 + 0.75xy = 0 Move all terms containing w to the left, all other terms to the right. Add '-0.75xy' to each side of the equation. w3 + 0.75xy + -0.75xy = 0 + -0.75xy Combine like terms: 0.75xy + -0.75xy = 0.00 w3 + 0.00 = 0 + -0.75xy w3 = 0 + -0.75xy Remove the zero: w3 = -0.75xy Simplifying w3 = -0.75xy 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 '(w3 + -0.75xy)' equal to zero and attempt to solve: Simplifying w3 + -0.75xy = 0 Solving w3 + -0.75xy = 0 Move all terms containing w to the left, all other terms to the right. Add '0.75xy' to each side of the equation. w3 + -0.75xy + 0.75xy = 0 + 0.75xy Combine like terms: -0.75xy + 0.75xy = 0.00 w3 + 0.00 = 0 + 0.75xy w3 = 0 + 0.75xy Remove the zero: w3 = 0.75xy Simplifying w3 = 0.75xy 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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