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Simplifying -2y2 + -1y + -180 = 0 Reorder the terms: -180 + -1y + -2y2 = 0 Solving -180 + -1y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(180 + y + 2y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(180 + y + 2y2)' equal to zero and attempt to solve: Simplifying 180 + y + 2y2 = 0 Solving 180 + y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 90 + 0.5y + y2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + 0.5y + -90 + y2 = 0 + -90 Reorder the terms: 90 + -90 + 0.5y + y2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 0.5y + y2 = 0 + -90 0.5y + y2 = 0 + -90 Combine like terms: 0 + -90 = -90 0.5y + y2 = -90 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. 0.5y + 0.25 + y2 = -90 + 0.25 Reorder the terms: 0.25 + 0.5y + y2 = -90 + 0.25 Combine like terms: -90 + 0.25 = -89.75 0.25 + 0.5y + y2 = -89.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -89.75 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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