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Simplifying 9y2 + -90y + 816 = 0 Reorder the terms: 816 + -90y + 9y2 = 0 Solving 816 + -90y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(272 + -30y + 3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(272 + -30y + 3y2)' equal to zero and attempt to solve: Simplifying 272 + -30y + 3y2 = 0 Solving 272 + -30y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 90.66666667 + -10y + y2 = 0 Move the constant term to the right: Add '-90.66666667' to each side of the equation. 90.66666667 + -10y + -90.66666667 + y2 = 0 + -90.66666667 Reorder the terms: 90.66666667 + -90.66666667 + -10y + y2 = 0 + -90.66666667 Combine like terms: 90.66666667 + -90.66666667 = 0.00000000 0.00000000 + -10y + y2 = 0 + -90.66666667 -10y + y2 = 0 + -90.66666667 Combine like terms: 0 + -90.66666667 = -90.66666667 -10y + y2 = -90.66666667 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -90.66666667 + 25 Reorder the terms: 25 + -10y + y2 = -90.66666667 + 25 Combine like terms: -90.66666667 + 25 = -65.66666667 25 + -10y + y2 = -65.66666667 Factor a perfect square on the left side: (y + -5)(y + -5) = -65.66666667 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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