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Simplifying 2y2 + 2y + 34 = 0 Reorder the terms: 34 + 2y + 2y2 = 0 Solving 34 + 2y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(17 + y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + y + y2)' equal to zero and attempt to solve: Simplifying 17 + y + y2 = 0 Solving 17 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + y + -17 + y2 = 0 + -17 Reorder the terms: 17 + -17 + y + y2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + y + y2 = 0 + -17 y + y2 = 0 + -17 Combine like terms: 0 + -17 = -17 y + y2 = -17 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = -17 + 0.25 Reorder the terms: 0.25 + y + y2 = -17 + 0.25 Combine like terms: -17 + 0.25 = -16.75 0.25 + y + y2 = -16.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -16.75 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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