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Simplifying 16x4 + -64y2 = 0 Solving 16x4 + -64y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y2' to each side of the equation. 16x4 + -64y2 + 64y2 = 0 + 64y2 Combine like terms: -64y2 + 64y2 = 0 16x4 + 0 = 0 + 64y2 16x4 = 0 + 64y2 Remove the zero: 16x4 = 64y2 Divide each side by '16'. x4 = 4y2 Simplifying x4 = 4y2 Combine like terms: 4y2 + -4y2 = 0 x4 + -4y2 = 0 Factor a difference between two squares. (x2 + 2y)(x2 + -2y) = 0Subproblem 1
Set the factor '(x2 + 2y)' equal to zero and attempt to solve: Simplifying x2 + 2y = 0 Solving x2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x2 + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 = 0 + -2y x2 = 0 + -2y Remove the zero: x2 = -2y Simplifying x2 = -2y 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 + -2y)' equal to zero and attempt to solve: Simplifying x2 + -2y = 0 Solving x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 = 0 + 2y x2 = 0 + 2y Remove the zero: x2 = 2y Simplifying x2 = 2y 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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