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Simplifying 5y4 + -44y2 + -576 = 0 Reorder the terms: -576 + -44y2 + 5y4 = 0 Solving -576 + -44y2 + 5y4 = 0 Solving for variable 'y'. Factor a trinomial. (-36 + -5y2)(16 + -1y2) = 0 Factor a difference between two squares. (-36 + -5y2)((4 + y)(4 + -1y)) = 0Subproblem 1
Set the factor '(-36 + -5y2)' equal to zero and attempt to solve: Simplifying -36 + -5y2 = 0 Solving -36 + -5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -5y2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -5y2 = 0 + 36 -5y2 = 0 + 36 Combine like terms: 0 + 36 = 36 -5y2 = 36 Divide each side by '-5'. y2 = -7.2 Simplifying y2 = -7.2 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 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 3
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-4, 4}
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