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Simplifying -2y2 + 44y = 250 Reorder the terms: 44y + -2y2 = 250 Solving 44y + -2y2 = 250 Solving for variable 'y'. Reorder the terms: -250 + 44y + -2y2 = 250 + -250 Combine like terms: 250 + -250 = 0 -250 + 44y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-125 + 22y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-125 + 22y + -1y2)' equal to zero and attempt to solve: Simplifying -125 + 22y + -1y2 = 0 Solving -125 + 22y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 125 + -22y + y2 = 0 Move the constant term to the right: Add '-125' to each side of the equation. 125 + -22y + -125 + y2 = 0 + -125 Reorder the terms: 125 + -125 + -22y + y2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -22y + y2 = 0 + -125 -22y + y2 = 0 + -125 Combine like terms: 0 + -125 = -125 -22y + y2 = -125 The y term is -22y. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22y + 121 + y2 = -125 + 121 Reorder the terms: 121 + -22y + y2 = -125 + 121 Combine like terms: -125 + 121 = -4 121 + -22y + y2 = -4 Factor a perfect square on the left side: (y + -11)(y + -11) = -4 Can't calculate square root of the right side. 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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