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Simplifying y(2y + 3) + -8y = -12 Reorder the terms: y(3 + 2y) + -8y = -12 (3 * y + 2y * y) + -8y = -12 (3y + 2y2) + -8y = -12 Reorder the terms: 3y + -8y + 2y2 = -12 Combine like terms: 3y + -8y = -5y -5y + 2y2 = -12 Solving -5y + 2y2 = -12 Solving for variable 'y'. Reorder the terms: 12 + -5y + 2y2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -5y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6 + -2.5y + y2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2.5y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + -2.5y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2.5y + y2 = 0 + -6 -2.5y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2.5y + y2 = -6 The y term is -2.5y. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5y + 1.5625 + y2 = -6 + 1.5625 Reorder the terms: 1.5625 + -2.5y + y2 = -6 + 1.5625 Combine like terms: -6 + 1.5625 = -4.4375 1.5625 + -2.5y + y2 = -4.4375 Factor a perfect square on the left side: (y + -1.25)(y + -1.25) = -4.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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