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Simplifying 3y2 + 18y + 51 = 0 Reorder the terms: 51 + 18y + 3y2 = 0 Solving 51 + 18y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(17 + 6y + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(17 + 6y + y2)' equal to zero and attempt to solve: Simplifying 17 + 6y + y2 = 0 Solving 17 + 6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 6y + -17 + y2 = 0 + -17 Reorder the terms: 17 + -17 + 6y + y2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6y + y2 = 0 + -17 6y + y2 = 0 + -17 Combine like terms: 0 + -17 = -17 6y + y2 = -17 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = -17 + 9 Reorder the terms: 9 + 6y + y2 = -17 + 9 Combine like terms: -17 + 9 = -8 9 + 6y + y2 = -8 Factor a perfect square on the left side: (y + 3)(y + 3) = -8 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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