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Simplifying 64x4 + -81y2 = 0 Solving 64x4 + -81y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y2' to each side of the equation. 64x4 + -81y2 + 81y2 = 0 + 81y2 Combine like terms: -81y2 + 81y2 = 0 64x4 + 0 = 0 + 81y2 64x4 = 0 + 81y2 Remove the zero: 64x4 = 81y2 Divide each side by '64'. x4 = 1.265625y2 Simplifying x4 = 1.265625y2 Combine like terms: 1.265625y2 + -1.265625y2 = 0.000000 x4 + -1.265625y2 = 0.000000 Factor a difference between two squares. (x2 + 1.125y)(x2 + -1.125y) = 0.000000Subproblem 1
Set the factor '(x2 + 1.125y)' equal to zero and attempt to solve: Simplifying x2 + 1.125y = 0 Solving x2 + 1.125y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.125y' to each side of the equation. x2 + 1.125y + -1.125y = 0 + -1.125y Combine like terms: 1.125y + -1.125y = 0.000 x2 + 0.000 = 0 + -1.125y x2 = 0 + -1.125y Remove the zero: x2 = -1.125y Simplifying x2 = -1.125y 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 + -1.125y)' equal to zero and attempt to solve: Simplifying x2 + -1.125y = 0 Solving x2 + -1.125y = 0 Move all terms containing x to the left, all other terms to the right. Add '1.125y' to each side of the equation. x2 + -1.125y + 1.125y = 0 + 1.125y Combine like terms: -1.125y + 1.125y = 0.000 x2 + 0.000 = 0 + 1.125y x2 = 0 + 1.125y Remove the zero: x2 = 1.125y Simplifying x2 = 1.125y 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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