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Simplifying Y4 + -2y2 + -1 = 0 Reorder the terms: -1 + Y4 + -2y2 = 0 Solving -1 + Y4 + -2y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + Y4 + 1 + -2y2 = 0 + 1 Reorder the terms: -1 + 1 + Y4 + -2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + Y4 + -2y2 = 0 + 1 Y4 + -2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 Y4 + -2y2 = 1 Add '2y2' to each side of the equation. Y4 + -2y2 + 2y2 = 1 + 2y2 Combine like terms: -2y2 + 2y2 = 0 Y4 + 0 = 1 + 2y2 Y4 = 1 + 2y2 Simplifying Y4 = 1 + 2y2 Reorder the terms: -1 + Y4 + -2y2 = 1 + 2y2 + -1 + -2y2 Reorder the terms: -1 + Y4 + -2y2 = 1 + -1 + 2y2 + -2y2 Combine like terms: 1 + -1 = 0 -1 + Y4 + -2y2 = 0 + 2y2 + -2y2 -1 + Y4 + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -1 + Y4 + -2y2 = 0 Factor a trinomial. (Y2 + -2y)(Y2 + y) = 0Subproblem 1
Set the factor '(Y2 + -2y)' equal to zero and attempt to solve: Simplifying Y2 + -2y = 0 Solving Y2 + -2y = 0 Move all terms containing Y to the left, all other terms to the right. Add '2y' to each side of the equation. Y2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 Y2 + 0 = 0 + 2y Y2 = 0 + 2y Remove the zero: Y2 = 2y Simplifying Y2 = 2y 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 + 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. The solution to this equation could not be determined.
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