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Simplifying -3y2 + -52y + -247 = 0 Reorder the terms: -247 + -52y + -3y2 = 0 Solving -247 + -52y + -3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(247 + 52y + 3y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(247 + 52y + 3y2)' equal to zero and attempt to solve: Simplifying 247 + 52y + 3y2 = 0 Solving 247 + 52y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 82.33333333 + 17.33333333y + y2 = 0 Move the constant term to the right: Add '-82.33333333' to each side of the equation. 82.33333333 + 17.33333333y + -82.33333333 + y2 = 0 + -82.33333333 Reorder the terms: 82.33333333 + -82.33333333 + 17.33333333y + y2 = 0 + -82.33333333 Combine like terms: 82.33333333 + -82.33333333 = 0.00000000 0.00000000 + 17.33333333y + y2 = 0 + -82.33333333 17.33333333y + y2 = 0 + -82.33333333 Combine like terms: 0 + -82.33333333 = -82.33333333 17.33333333y + y2 = -82.33333333 The y term is 17.33333333y. Take half its coefficient (8.666666665). Square it (75.11111108) and add it to both sides. Add '75.11111108' to each side of the equation. 17.33333333y + 75.11111108 + y2 = -82.33333333 + 75.11111108 Reorder the terms: 75.11111108 + 17.33333333y + y2 = -82.33333333 + 75.11111108 Combine like terms: -82.33333333 + 75.11111108 = -7.22222225 75.11111108 + 17.33333333y + y2 = -7.22222225 Factor a perfect square on the left side: (y + 8.666666665)(y + 8.666666665) = -7.22222225 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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