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Simplifying y8 + -81 = 0 Reorder the terms: -81 + y8 = 0 Solving -81 + y8 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + y8 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + y8 = 0 + 81 y8 = 0 + 81 Combine like terms: 0 + 81 = 81 y8 = 81 Simplifying y8 = 81 Reorder the terms: -81 + y8 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + y8 = 0 Factor a difference between two squares. (9 + y4)(-9 + y4) = 0 Factor a difference between two squares. (9 + y4)((3 + y2)(-3 + y2)) = 0Subproblem 1
Set the factor '(9 + y4)' equal to zero and attempt to solve: Simplifying 9 + y4 = 0 Solving 9 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y4 = 0 + -9 y4 = 0 + -9 Combine like terms: 0 + -9 = -9 y4 = -9 Simplifying y4 = -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 + y2)' equal to zero and attempt to solve: Simplifying 3 + y2 = 0 Solving 3 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y2 = 0 + -3 y2 = 0 + -3 Combine like terms: 0 + -3 = -3 y2 = -3 Simplifying y2 = -3 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 '(-3 + y2)' equal to zero and attempt to solve: Simplifying -3 + y2 = 0 Solving -3 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y2 = 0 + 3 y2 = 0 + 3 Combine like terms: 0 + 3 = 3 y2 = 3 Simplifying y2 = 3 Take the square root of each side: y = {-1.732050808, 1.732050808}Solution
y = {-1.732050808, 1.732050808}
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