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Simplifying 44 = 0.006y2 + -0.03y + 118 Reorder the terms: 44 = 118 + -0.03y + 0.006y2 Solving 44 = 118 + -0.03y + 0.006y2 Solving for variable 'y'. Combine like terms: 44 + -118 = -74 -74 + 0.03y + -0.006y2 = 118 + -0.03y + 0.006y2 + -118 + 0.03y + -0.006y2 Reorder the terms: -74 + 0.03y + -0.006y2 = 118 + -118 + -0.03y + 0.03y + 0.006y2 + -0.006y2 Combine like terms: 118 + -118 = 0 -74 + 0.03y + -0.006y2 = 0 + -0.03y + 0.03y + 0.006y2 + -0.006y2 -74 + 0.03y + -0.006y2 = -0.03y + 0.03y + 0.006y2 + -0.006y2 Combine like terms: -0.03y + 0.03y = 0.00 -74 + 0.03y + -0.006y2 = 0.00 + 0.006y2 + -0.006y2 -74 + 0.03y + -0.006y2 = 0.006y2 + -0.006y2 Combine like terms: 0.006y2 + -0.006y2 = 0.000 -74 + 0.03y + -0.006y2 = 0.000 Begin completing the square. Divide all terms by -0.006 the coefficient of the squared term: Divide each side by '-0.006'. 12333.33333 + -5y + y2 = 0 Move the constant term to the right: Add '-12333.33333' to each side of the equation. 12333.33333 + -5y + -12333.33333 + y2 = 0 + -12333.33333 Reorder the terms: 12333.33333 + -12333.33333 + -5y + y2 = 0 + -12333.33333 Combine like terms: 12333.33333 + -12333.33333 = 0.00000 0.00000 + -5y + y2 = 0 + -12333.33333 -5y + y2 = 0 + -12333.33333 Combine like terms: 0 + -12333.33333 = -12333.33333 -5y + y2 = -12333.33333 The y term is -5y. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5y + 6.25 + y2 = -12333.33333 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -12333.33333 + 6.25 Combine like terms: -12333.33333 + 6.25 = -12327.08333 6.25 + -5y + y2 = -12327.08333 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -12327.08333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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