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Simplifying Y4 + 8y2 + 9 = 0 Reorder the terms: 9 + Y4 + 8y2 = 0 Solving 9 + Y4 + 8y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + Y4 + -9 + 8y2 = 0 + -9 Reorder the terms: 9 + -9 + Y4 + 8y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + Y4 + 8y2 = 0 + -9 Y4 + 8y2 = 0 + -9 Combine like terms: 0 + -9 = -9 Y4 + 8y2 = -9 Add '-8y2' to each side of the equation. Y4 + 8y2 + -8y2 = -9 + -8y2 Combine like terms: 8y2 + -8y2 = 0 Y4 + 0 = -9 + -8y2 Y4 = -9 + -8y2 Simplifying Y4 = -9 + -8y2 Reorder the terms: 9 + Y4 + 8y2 = -9 + -8y2 + 9 + 8y2 Reorder the terms: 9 + Y4 + 8y2 = -9 + 9 + -8y2 + 8y2 Combine like terms: -9 + 9 = 0 9 + Y4 + 8y2 = 0 + -8y2 + 8y2 9 + Y4 + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 9 + Y4 + 8y2 = 0 Factor a trinomial. (Y2 + y)(Y2 + 8y) = 0Subproblem 1
Set the factor '(Y2 + y)' equal to zero and attempt to solve: Simplifying Y2 + y = 0 Solving Y2 + y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1y' to each side of the equation. Y2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 Y2 + 0 = 0 + -1y Y2 = 0 + -1y Remove the zero: Y2 = -1y Simplifying Y2 = -1y 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 '(Y2 + 8y)' equal to zero and attempt to solve: Simplifying Y2 + 8y = 0 Solving Y2 + 8y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-8y' to each side of the equation. Y2 + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 Y2 + 0 = 0 + -8y Y2 = 0 + -8y Remove the zero: Y2 = -8y Simplifying Y2 = -8y 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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