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Simplifying 9y4 + -7y2 + -16 = 0 Reorder the terms: -16 + -7y2 + 9y4 = 0 Solving -16 + -7y2 + 9y4 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y2)(16 + -9y2) = 0 Factor a difference between two squares. (-1 + -1y2)((4 + 3y)(4 + -3y)) = 0Subproblem 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 '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 3
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {-1.333333333, 1.333333333}
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