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Simplifying y4 + 10y2 + 24 = 0 Reorder the terms: 24 + 10y2 + y4 = 0 Solving 24 + 10y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (6 + y2)(4 + y2) = 0Subproblem 1
Set the factor '(6 + y2)' equal to zero and attempt to solve: Simplifying 6 + y2 = 0 Solving 6 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y2 = 0 + -6 y2 = 0 + -6 Combine like terms: 0 + -6 = -6 y2 = -6 Simplifying y2 = -6 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 + y2)' equal to zero and attempt to solve: Simplifying 4 + y2 = 0 Solving 4 + y2 = 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 + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y2 = 0 + -4 y2 = 0 + -4 Combine like terms: 0 + -4 = -4 y2 = -4 Simplifying y2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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