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Simplifying 0.18y(y + -1) + 0.06y = 0.04y + -0.2 Reorder the terms: 0.18y(-1 + y) + 0.06y = 0.04y + -0.2 (-1 * 0.18y + y * 0.18y) + 0.06y = 0.04y + -0.2 (-0.18y + 0.18y2) + 0.06y = 0.04y + -0.2 Reorder the terms: -0.18y + 0.06y + 0.18y2 = 0.04y + -0.2 Combine like terms: -0.18y + 0.06y = -0.12y -0.12y + 0.18y2 = 0.04y + -0.2 Reorder the terms: -0.12y + 0.18y2 = -0.2 + 0.04y Solving -0.12y + 0.18y2 = -0.2 + 0.04y Solving for variable 'y'. Reorder the terms: 0.2 + -0.12y + -0.04y + 0.18y2 = -0.2 + 0.04y + 0.2 + -0.04y Combine like terms: -0.12y + -0.04y = -0.16y 0.2 + -0.16y + 0.18y2 = -0.2 + 0.04y + 0.2 + -0.04y Reorder the terms: 0.2 + -0.16y + 0.18y2 = -0.2 + 0.2 + 0.04y + -0.04y Combine like terms: -0.2 + 0.2 = 0.0 0.2 + -0.16y + 0.18y2 = 0.0 + 0.04y + -0.04y 0.2 + -0.16y + 0.18y2 = 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 0.2 + -0.16y + 0.18y2 = 0.00 Begin completing the square. Divide all terms by 0.18 the coefficient of the squared term: Divide each side by '0.18'. 1.111111111 + -0.8888888889y + y2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + -0.8888888889y + -1.111111111 + y2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + -0.8888888889y + y2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + -0.8888888889y + y2 = 0 + -1.111111111 -0.8888888889y + y2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 -0.8888888889y + y2 = -1.111111111 The y term is -0.8888888889y. Take half its coefficient (-0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. -0.8888888889y + 0.1975308642 + y2 = -1.111111111 + 0.1975308642 Reorder the terms: 0.1975308642 + -0.8888888889y + y2 = -1.111111111 + 0.1975308642 Combine like terms: -1.111111111 + 0.1975308642 = -0.9135802468 0.1975308642 + -0.8888888889y + y2 = -0.9135802468 Factor a perfect square on the left side: (y + -0.4444444445)(y + -0.4444444445) = -0.9135802468 Can't calculate square root of the right side. The solution to this equation could not be determined.
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