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Simplifying 36y2 + -232y + 404 = 0 Reorder the terms: 404 + -232y + 36y2 = 0 Solving 404 + -232y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(101 + -58y + 9y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(101 + -58y + 9y2)' equal to zero and attempt to solve: Simplifying 101 + -58y + 9y2 = 0 Solving 101 + -58y + 9y2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 11.22222222 + -6.444444444y + y2 = 0 Move the constant term to the right: Add '-11.22222222' to each side of the equation. 11.22222222 + -6.444444444y + -11.22222222 + y2 = 0 + -11.22222222 Reorder the terms: 11.22222222 + -11.22222222 + -6.444444444y + y2 = 0 + -11.22222222 Combine like terms: 11.22222222 + -11.22222222 = 0.00000000 0.00000000 + -6.444444444y + y2 = 0 + -11.22222222 -6.444444444y + y2 = 0 + -11.22222222 Combine like terms: 0 + -11.22222222 = -11.22222222 -6.444444444y + y2 = -11.22222222 The y term is -6.444444444y. Take half its coefficient (-3.222222222). Square it (10.38271605) and add it to both sides. Add '10.38271605' to each side of the equation. -6.444444444y + 10.38271605 + y2 = -11.22222222 + 10.38271605 Reorder the terms: 10.38271605 + -6.444444444y + y2 = -11.22222222 + 10.38271605 Combine like terms: -11.22222222 + 10.38271605 = -0.83950617 10.38271605 + -6.444444444y + y2 = -0.83950617 Factor a perfect square on the left side: (y + -3.222222222)(y + -3.222222222) = -0.83950617 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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