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Simplifying Y4 + -10y2 + 9 = 0 Reorder the terms: 9 + Y4 + -10y2 = 0 Solving 9 + Y4 + -10y2 = 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 + -10y2 = 0 + -9 Reorder the terms: 9 + -9 + Y4 + -10y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + Y4 + -10y2 = 0 + -9 Y4 + -10y2 = 0 + -9 Combine like terms: 0 + -9 = -9 Y4 + -10y2 = -9 Add '10y2' to each side of the equation. Y4 + -10y2 + 10y2 = -9 + 10y2 Combine like terms: -10y2 + 10y2 = 0 Y4 + 0 = -9 + 10y2 Y4 = -9 + 10y2 Simplifying Y4 = -9 + 10y2 Reorder the terms: 9 + Y4 + -10y2 = -9 + 10y2 + 9 + -10y2 Reorder the terms: 9 + Y4 + -10y2 = -9 + 9 + 10y2 + -10y2 Combine like terms: -9 + 9 = 0 9 + Y4 + -10y2 = 0 + 10y2 + -10y2 9 + Y4 + -10y2 = 10y2 + -10y2 Combine like terms: 10y2 + -10y2 = 0 9 + Y4 + -10y2 = 0 Factor a trinomial. (Y2 + -1y)(Y2 + 10y) = 0Subproblem 1
Set the factor '(Y2 + -1y)' equal to zero and attempt to solve: Simplifying Y2 + -1y = 0 Solving Y2 + -1y = 0 Move all terms containing Y to the left, all other terms to the right. Add 'y' to each side of the equation. Y2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 Y2 + 0 = 0 + y Y2 = 0 + y Remove the zero: Y2 = y Simplifying Y2 = y 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 + 10y)' equal to zero and attempt to solve: Simplifying Y2 + 10y = 0 Solving Y2 + 10y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-10y' to each side of the equation. Y2 + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 Y2 + 0 = 0 + -10y Y2 = 0 + -10y Remove the zero: Y2 = -10y Simplifying Y2 = -10y 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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