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Simplifying 2y2 + 14y + 86 = 0 Reorder the terms: 86 + 14y + 2y2 = 0 Solving 86 + 14y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(43 + 7y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(43 + 7y + y2)' equal to zero and attempt to solve: Simplifying 43 + 7y + y2 = 0 Solving 43 + 7y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-43' to each side of the equation. 43 + 7y + -43 + y2 = 0 + -43 Reorder the terms: 43 + -43 + 7y + y2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 7y + y2 = 0 + -43 7y + y2 = 0 + -43 Combine like terms: 0 + -43 = -43 7y + y2 = -43 The y term is 7y. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7y + 12.25 + y2 = -43 + 12.25 Reorder the terms: 12.25 + 7y + y2 = -43 + 12.25 Combine like terms: -43 + 12.25 = -30.75 12.25 + 7y + y2 = -30.75 Factor a perfect square on the left side: (y + 3.5)(y + 3.5) = -30.75 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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