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Simplifying -9y2 + 24y + -64 = 0 Reorder the terms: -64 + 24y + -9y2 = 0 Solving -64 + 24y + -9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 7.111111111 + -2.666666667y + y2 = 0 Move the constant term to the right: Add '-7.111111111' to each side of the equation. 7.111111111 + -2.666666667y + -7.111111111 + y2 = 0 + -7.111111111 Reorder the terms: 7.111111111 + -7.111111111 + -2.666666667y + y2 = 0 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 0.000000000 + -2.666666667y + y2 = 0 + -7.111111111 -2.666666667y + y2 = 0 + -7.111111111 Combine like terms: 0 + -7.111111111 = -7.111111111 -2.666666667y + y2 = -7.111111111 The y term is -2.666666667y. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667y + 1.777777780 + y2 = -7.111111111 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667y + y2 = -7.111111111 + 1.777777780 Combine like terms: -7.111111111 + 1.777777780 = -5.333333331 1.777777780 + -2.666666667y + y2 = -5.333333331 Factor a perfect square on the left side: (y + -1.333333334)(y + -1.333333334) = -5.333333331 Can't calculate square root of the right side. The solution to this equation could not be determined.
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