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Simplifying 0.20y(y + -3) + 0.06y = 0.08 + -1.5 Reorder the terms: 0.20y(-3 + y) + 0.06y = 0.08 + -1.5 (-3 * 0.20y + y * 0.20y) + 0.06y = 0.08 + -1.5 (-0.6y + 0.20y2) + 0.06y = 0.08 + -1.5 Reorder the terms: -0.6y + 0.06y + 0.20y2 = 0.08 + -1.5 Combine like terms: -0.6y + 0.06y = -0.54y -0.54y + 0.20y2 = 0.08 + -1.5 Combine like terms: 0.08 + -1.5 = -1.42 -0.54y + 0.20y2 = -1.42 Solving -0.54y + 0.20y2 = -1.42 Solving for variable 'y'. Reorder the terms: 1.42 + -0.54y + 0.20y2 = -1.42 + 1.42 Combine like terms: -1.42 + 1.42 = 0.00 1.42 + -0.54y + 0.20y2 = 0.00 Begin completing the square. Divide all terms by 0.20 the coefficient of the squared term: Divide each side by '0.20'. 7.1 + -2.7y + y2 = 0 Move the constant term to the right: Add '-7.1' to each side of the equation. 7.1 + -2.7y + -7.1 + y2 = 0 + -7.1 Reorder the terms: 7.1 + -7.1 + -2.7y + y2 = 0 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + -2.7y + y2 = 0 + -7.1 -2.7y + y2 = 0 + -7.1 Combine like terms: 0 + -7.1 = -7.1 -2.7y + y2 = -7.1 The y term is -2.7y. Take half its coefficient (-1.35). Square it (1.8225) and add it to both sides. Add '1.8225' to each side of the equation. -2.7y + 1.8225 + y2 = -7.1 + 1.8225 Reorder the terms: 1.8225 + -2.7y + y2 = -7.1 + 1.8225 Combine like terms: -7.1 + 1.8225 = -5.2775 1.8225 + -2.7y + y2 = -5.2775 Factor a perfect square on the left side: (y + -1.35)(y + -1.35) = -5.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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