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Simplifying 9y2 + -16x4 = 0 Reorder the terms: -16x4 + 9y2 = 0 Solving -16x4 + 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. -16x4 + 9y2 + -9y2 = 0 + -9y2 Combine like terms: 9y2 + -9y2 = 0 -16x4 + 0 = 0 + -9y2 -16x4 = 0 + -9y2 Remove the zero: -16x4 = -9y2 Divide each side by '-16'. x4 = 0.5625y2 Simplifying x4 = 0.5625y2 Combine like terms: 0.5625y2 + -0.5625y2 = 0.0000 x4 + -0.5625y2 = 0.0000 Factor a difference between two squares. (x2 + 0.75y)(x2 + -0.75y) = 0.0000Subproblem 1
Set the factor '(x2 + 0.75y)' equal to zero and attempt to solve: Simplifying x2 + 0.75y = 0 Solving x2 + 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. x2 + 0.75y + -0.75y = 0 + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 x2 + 0.00 = 0 + -0.75y x2 = 0 + -0.75y Remove the zero: x2 = -0.75y Simplifying x2 = -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 '(x2 + -0.75y)' equal to zero and attempt to solve: Simplifying x2 + -0.75y = 0 Solving x2 + -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. x2 + -0.75y + 0.75y = 0 + 0.75y Combine like terms: -0.75y + 0.75y = 0.00 x2 + 0.00 = 0 + 0.75y x2 = 0 + 0.75y Remove the zero: x2 = 0.75y Simplifying x2 = 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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