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Simplifying 36y2 + -256y + 1088 = 0 Reorder the terms: 1088 + -256y + 36y2 = 0 Solving 1088 + -256y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(272 + -64y + 9y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(272 + -64y + 9y2)' equal to zero and attempt to solve: Simplifying 272 + -64y + 9y2 = 0 Solving 272 + -64y + 9y2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 30.22222222 + -7.111111111y + y2 = 0 Move the constant term to the right: Add '-30.22222222' to each side of the equation. 30.22222222 + -7.111111111y + -30.22222222 + y2 = 0 + -30.22222222 Reorder the terms: 30.22222222 + -30.22222222 + -7.111111111y + y2 = 0 + -30.22222222 Combine like terms: 30.22222222 + -30.22222222 = 0.00000000 0.00000000 + -7.111111111y + y2 = 0 + -30.22222222 -7.111111111y + y2 = 0 + -30.22222222 Combine like terms: 0 + -30.22222222 = -30.22222222 -7.111111111y + y2 = -30.22222222 The y term is -7.111111111y. Take half its coefficient (-3.555555556). Square it (12.64197531) and add it to both sides. Add '12.64197531' to each side of the equation. -7.111111111y + 12.64197531 + y2 = -30.22222222 + 12.64197531 Reorder the terms: 12.64197531 + -7.111111111y + y2 = -30.22222222 + 12.64197531 Combine like terms: -30.22222222 + 12.64197531 = -17.58024691 12.64197531 + -7.111111111y + y2 = -17.58024691 Factor a perfect square on the left side: (y + -3.555555556)(y + -3.555555556) = -17.58024691 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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