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Simplifying y(3 + -1y) + 5(y + -7) = 0 (3 * y + -1y * y) + 5(y + -7) = 0 (3y + -1y2) + 5(y + -7) = 0 Reorder the terms: 3y + -1y2 + 5(-7 + y) = 0 3y + -1y2 + (-7 * 5 + y * 5) = 0 3y + -1y2 + (-35 + 5y) = 0 Reorder the terms: -35 + 3y + 5y + -1y2 = 0 Combine like terms: 3y + 5y = 8y -35 + 8y + -1y2 = 0 Solving -35 + 8y + -1y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 35 + -8y + y2 = 0 Move the constant term to the right: Add '-35' to each side of the equation. 35 + -8y + -35 + y2 = 0 + -35 Reorder the terms: 35 + -35 + -8y + y2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8y + y2 = 0 + -35 -8y + y2 = 0 + -35 Combine like terms: 0 + -35 = -35 -8y + y2 = -35 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -35 + 16 Reorder the terms: 16 + -8y + y2 = -35 + 16 Combine like terms: -35 + 16 = -19 16 + -8y + y2 = -19 Factor a perfect square on the left side: (y + -4)(y + -4) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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