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Simplifying 16x8 + -81y4 = 0 Solving 16x8 + -81y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y4' to each side of the equation. 16x8 + -81y4 + 81y4 = 0 + 81y4 Combine like terms: -81y4 + 81y4 = 0 16x8 + 0 = 0 + 81y4 16x8 = 0 + 81y4 Remove the zero: 16x8 = 81y4 Divide each side by '16'. x8 = 5.0625y4 Simplifying x8 = 5.0625y4 Combine like terms: 5.0625y4 + -5.0625y4 = 0.0000 x8 + -5.0625y4 = 0.0000 Factor a difference between two squares. (x4 + 2.25y2)(x4 + -2.25y2) = 0.0000 Factor a difference between two squares. (x4 + 2.25y2)((x2 + 1.5y)(x2 + -1.5y)) = 0.0000Subproblem 1
Set the factor '(x4 + 2.25y2)' equal to zero and attempt to solve: Simplifying x4 + 2.25y2 = 0 Solving x4 + 2.25y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2.25y2' to each side of the equation. x4 + 2.25y2 + -2.25y2 = 0 + -2.25y2 Combine like terms: 2.25y2 + -2.25y2 = 0.00 x4 + 0.00 = 0 + -2.25y2 x4 = 0 + -2.25y2 Remove the zero: x4 = -2.25y2 Simplifying x4 = -2.25y2 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 + 1.5y)' equal to zero and attempt to solve: Simplifying x2 + 1.5y = 0 Solving x2 + 1.5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5y' to each side of the equation. x2 + 1.5y + -1.5y = 0 + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 x2 + 0.0 = 0 + -1.5y x2 = 0 + -1.5y Remove the zero: x2 = -1.5y Simplifying x2 = -1.5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(x2 + -1.5y)' equal to zero and attempt to solve: Simplifying x2 + -1.5y = 0 Solving x2 + -1.5y = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5y' to each side of the equation. x2 + -1.5y + 1.5y = 0 + 1.5y Combine like terms: -1.5y + 1.5y = 0.0 x2 + 0.0 = 0 + 1.5y x2 = 0 + 1.5y Remove the zero: x2 = 1.5y Simplifying x2 = 1.5y 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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