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Simplifying 5y2 + -9y = -7y + -5 Reorder the terms: -9y + 5y2 = -7y + -5 Reorder the terms: -9y + 5y2 = -5 + -7y Solving -9y + 5y2 = -5 + -7y Solving for variable 'y'. Reorder the terms: 5 + -9y + 7y + 5y2 = -5 + -7y + 5 + 7y Combine like terms: -9y + 7y = -2y 5 + -2y + 5y2 = -5 + -7y + 5 + 7y Reorder the terms: 5 + -2y + 5y2 = -5 + 5 + -7y + 7y Combine like terms: -5 + 5 = 0 5 + -2y + 5y2 = 0 + -7y + 7y 5 + -2y + 5y2 = -7y + 7y Combine like terms: -7y + 7y = 0 5 + -2y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -0.4y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.4y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -0.4y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4y + y2 = 0 + -1 -0.4y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.4y + y2 = -1 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 = -1 + 0.04 Reorder the terms: 0.04 + -0.4y + y2 = -1 + 0.04 Combine like terms: -1 + 0.04 = -0.96 0.04 + -0.4y + y2 = -0.96 Factor a perfect square on the left side: (y + -0.2)(y + -0.2) = -0.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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