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Simplifying x4 + -81y6 = 0 Solving x4 + -81y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y6' to each side of the equation. x4 + -81y6 + 81y6 = 0 + 81y6 Combine like terms: -81y6 + 81y6 = 0 x4 + 0 = 0 + 81y6 x4 = 0 + 81y6 Remove the zero: x4 = 81y6 Simplifying x4 = 81y6 Combine like terms: 81y6 + -81y6 = 0 x4 + -81y6 = 0 Factor a difference between two squares. (x2 + 9y3)(x2 + -9y3) = 0Subproblem 1
Set the factor '(x2 + 9y3)' equal to zero and attempt to solve: Simplifying x2 + 9y3 = 0 Solving x2 + 9y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y3' to each side of the equation. x2 + 9y3 + -9y3 = 0 + -9y3 Combine like terms: 9y3 + -9y3 = 0 x2 + 0 = 0 + -9y3 x2 = 0 + -9y3 Remove the zero: x2 = -9y3 Simplifying x2 = -9y3 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 + -9y3)' equal to zero and attempt to solve: Simplifying x2 + -9y3 = 0 Solving x2 + -9y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '9y3' to each side of the equation. x2 + -9y3 + 9y3 = 0 + 9y3 Combine like terms: -9y3 + 9y3 = 0 x2 + 0 = 0 + 9y3 x2 = 0 + 9y3 Remove the zero: x2 = 9y3 Simplifying x2 = 9y3 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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