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Simplifying 0 = 0.005y2 + -0.002y + 122 Reorder the terms: 0 = 122 + -0.002y + 0.005y2 Solving 0 = 122 + -0.002y + 0.005y2 Solving for variable 'y'. Combine like terms: 0 + -122 = -122 -122 + 0.002y + -0.005y2 = 122 + -0.002y + 0.005y2 + -122 + 0.002y + -0.005y2 Reorder the terms: -122 + 0.002y + -0.005y2 = 122 + -122 + -0.002y + 0.002y + 0.005y2 + -0.005y2 Combine like terms: 122 + -122 = 0 -122 + 0.002y + -0.005y2 = 0 + -0.002y + 0.002y + 0.005y2 + -0.005y2 -122 + 0.002y + -0.005y2 = -0.002y + 0.002y + 0.005y2 + -0.005y2 Combine like terms: -0.002y + 0.002y = 0.000 -122 + 0.002y + -0.005y2 = 0.000 + 0.005y2 + -0.005y2 -122 + 0.002y + -0.005y2 = 0.005y2 + -0.005y2 Combine like terms: 0.005y2 + -0.005y2 = 0.000 -122 + 0.002y + -0.005y2 = 0.000 Begin completing the square. Divide all terms by -0.005 the coefficient of the squared term: Divide each side by '-0.005'. 24400 + -0.4y + y2 = 0 Move the constant term to the right: Add '-24400' to each side of the equation. 24400 + -0.4y + -24400 + y2 = 0 + -24400 Reorder the terms: 24400 + -24400 + -0.4y + y2 = 0 + -24400 Combine like terms: 24400 + -24400 = 0 0 + -0.4y + y2 = 0 + -24400 -0.4y + y2 = 0 + -24400 Combine like terms: 0 + -24400 = -24400 -0.4y + y2 = -24400 The y term is -0.4y. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4y + 0.04 + y2 = -24400 + 0.04 Reorder the terms: 0.04 + -0.4y + y2 = -24400 + 0.04 Combine like terms: -24400 + 0.04 = -24399.96 0.04 + -0.4y + y2 = -24399.96 Factor a perfect square on the left side: (y + -0.2)(y + -0.2) = -24399.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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