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Simplifying x4y + -81y = 0 Solving x4y + -81y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y' to each side of the equation. x4y + -81y + 81y = 0 + 81y Combine like terms: -81y + 81y = 0 x4y + 0 = 0 + 81y x4y = 0 + 81y Remove the zero: x4y = 81y Divide each side by 'y'. x4 = 81 Simplifying x4 = 81 Reorder the terms: -81 + x4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + x4 = 0 Factor a difference between two squares. (9 + x2)(-9 + x2) = 0 Factor a difference between two squares. (9 + x2)((3 + x)(-3 + x)) = 0Subproblem 1
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {-3, 3}
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