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Simplifying 2y2 + -24y = -225 Reorder the terms: -24y + 2y2 = -225 Solving -24y + 2y2 = -225 Solving for variable 'y'. Reorder the terms: 225 + -24y + 2y2 = -225 + 225 Combine like terms: -225 + 225 = 0 225 + -24y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 112.5 + -12y + y2 = 0 Move the constant term to the right: Add '-112.5' to each side of the equation. 112.5 + -12y + -112.5 + y2 = 0 + -112.5 Reorder the terms: 112.5 + -112.5 + -12y + y2 = 0 + -112.5 Combine like terms: 112.5 + -112.5 = 0.0 0.0 + -12y + y2 = 0 + -112.5 -12y + y2 = 0 + -112.5 Combine like terms: 0 + -112.5 = -112.5 -12y + y2 = -112.5 The y term is -12y. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12y + 36 + y2 = -112.5 + 36 Reorder the terms: 36 + -12y + y2 = -112.5 + 36 Combine like terms: -112.5 + 36 = -76.5 36 + -12y + y2 = -76.5 Factor a perfect square on the left side: (y + -6)(y + -6) = -76.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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