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Simplifying 6y2 + -18y + 30 = 0 Reorder the terms: 30 + -18y + 6y2 = 0 Solving 30 + -18y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6'. 6(5 + -3y + y2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + -3y + y2)' equal to zero and attempt to solve: Simplifying 5 + -3y + y2 = 0 Solving 5 + -3y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + -3y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y + y2 = 0 + -5 -3y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3y + y2 = -5 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = -5 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3y + y2 = -2.75 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = -2.75 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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