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Simplifying 2y4 + -160y2 + -162 = 0 Reorder the terms: -162 + -160y2 + 2y4 = 0 Solving -162 + -160y2 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-81 + -80y2 + y4) = 0 Factor a trinomial. 2((-1 + -1y2)(81 + -1y2)) = 0 Factor a difference between two squares. 2((-1 + -1y2)((9 + y)(9 + -1y))) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1y2)' equal to zero and attempt to solve: Simplifying -1 + -1y2 = 0 Solving -1 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y2 = 0 + 1 -1y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1y2 = 1 Divide each side by '-1'. y2 = -1 Simplifying y2 = -1 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 '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 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 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Subproblem 3
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-9, 9}
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