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Simplifying 6y2 + -9y + 18 = 0 Reorder the terms: 18 + -9y + 6y2 = 0 Solving 18 + -9y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -3y + 2y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -3y + 2y2)' equal to zero and attempt to solve: Simplifying 6 + -3y + 2y2 = 0 Solving 6 + -3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3 + -1.5y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.5y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + -1.5y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5y + y2 = 0 + -3 -1.5y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5y + y2 = -3 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = -3 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -3 + 0.5625 Combine like terms: -3 + 0.5625 = -2.4375 0.5625 + -1.5y + y2 = -2.4375 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -2.4375 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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