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Simplifying 6y2 + -27y + 36 = 0 Reorder the terms: 36 + -27y + 6y2 = 0 Solving 36 + -27y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -9y + 2y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + -9y + 2y2)' equal to zero and attempt to solve: Simplifying 12 + -9y + 2y2 = 0 Solving 12 + -9y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6 + -4.5y + y2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4.5y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + -4.5y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4.5y + y2 = 0 + -6 -4.5y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4.5y + y2 = -6 The y term is -4.5y. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5y + 5.0625 + y2 = -6 + 5.0625 Reorder the terms: 5.0625 + -4.5y + y2 = -6 + 5.0625 Combine like terms: -6 + 5.0625 = -0.9375 5.0625 + -4.5y + y2 = -0.9375 Factor a perfect square on the left side: (y + -2.25)(y + -2.25) = -0.9375 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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