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Simplifying 18 + -3y = -5y(y + -2) Reorder the terms: 18 + -3y = -5y(-2 + y) 18 + -3y = (-2 * -5y + y * -5y) 18 + -3y = (10y + -5y2) Solving 18 + -3y = 10y + -5y2 Solving for variable 'y'. Combine like terms: -3y + -10y = -13y 18 + -13y + 5y2 = 10y + -5y2 + -10y + 5y2 Reorder the terms: 18 + -13y + 5y2 = 10y + -10y + -5y2 + 5y2 Combine like terms: 10y + -10y = 0 18 + -13y + 5y2 = 0 + -5y2 + 5y2 18 + -13y + 5y2 = -5y2 + 5y2 Combine like terms: -5y2 + 5y2 = 0 18 + -13y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + -2.6y + y2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + -2.6y + -3.6 + y2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + -2.6y + y2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -2.6y + y2 = 0 + -3.6 -2.6y + y2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 -2.6y + y2 = -3.6 The y term is -2.6y. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6y + 1.69 + y2 = -3.6 + 1.69 Reorder the terms: 1.69 + -2.6y + y2 = -3.6 + 1.69 Combine like terms: -3.6 + 1.69 = -1.91 1.69 + -2.6y + y2 = -1.91 Factor a perfect square on the left side: (y + -1.3)(y + -1.3) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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