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Simplifying Y4 + -50y2 + 49 = 0 Reorder the terms: 49 + Y4 + -50y2 = 0 Solving 49 + Y4 + -50y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + Y4 + -49 + -50y2 = 0 + -49 Reorder the terms: 49 + -49 + Y4 + -50y2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + Y4 + -50y2 = 0 + -49 Y4 + -50y2 = 0 + -49 Combine like terms: 0 + -49 = -49 Y4 + -50y2 = -49 Add '50y2' to each side of the equation. Y4 + -50y2 + 50y2 = -49 + 50y2 Combine like terms: -50y2 + 50y2 = 0 Y4 + 0 = -49 + 50y2 Y4 = -49 + 50y2 Simplifying Y4 = -49 + 50y2 Reorder the terms: 49 + Y4 + -50y2 = -49 + 50y2 + 49 + -50y2 Reorder the terms: 49 + Y4 + -50y2 = -49 + 49 + 50y2 + -50y2 Combine like terms: -49 + 49 = 0 49 + Y4 + -50y2 = 0 + 50y2 + -50y2 49 + Y4 + -50y2 = 50y2 + -50y2 Combine like terms: 50y2 + -50y2 = 0 49 + Y4 + -50y2 = 0 Factor a trinomial. (Y2 + -1y)(Y2 + 50y) = 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 + 50y)' equal to zero and attempt to solve: Simplifying Y2 + 50y = 0 Solving Y2 + 50y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-50y' to each side of the equation. Y2 + 50y + -50y = 0 + -50y Combine like terms: 50y + -50y = 0 Y2 + 0 = 0 + -50y Y2 = 0 + -50y Remove the zero: Y2 = -50y Simplifying Y2 = -50y 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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