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Simplifying 36y2 + -24y = -85 Reorder the terms: -24y + 36y2 = -85 Solving -24y + 36y2 = -85 Solving for variable 'y'. Reorder the terms: 85 + -24y + 36y2 = -85 + 85 Combine like terms: -85 + 85 = 0 85 + -24y + 36y2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 2.361111111 + -0.6666666667y + y2 = 0 Move the constant term to the right: Add '-2.361111111' to each side of the equation. 2.361111111 + -0.6666666667y + -2.361111111 + y2 = 0 + -2.361111111 Reorder the terms: 2.361111111 + -2.361111111 + -0.6666666667y + y2 = 0 + -2.361111111 Combine like terms: 2.361111111 + -2.361111111 = 0.000000000 0.000000000 + -0.6666666667y + y2 = 0 + -2.361111111 -0.6666666667y + y2 = 0 + -2.361111111 Combine like terms: 0 + -2.361111111 = -2.361111111 -0.6666666667y + y2 = -2.361111111 The y term is -0.6666666667y. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667y + 0.1111111112 + y2 = -2.361111111 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667y + y2 = -2.361111111 + 0.1111111112 Combine like terms: -2.361111111 + 0.1111111112 = -2.2499999998 0.1111111112 + -0.6666666667y + y2 = -2.2499999998 Factor a perfect square on the left side: (y + -0.3333333334)(y + -0.3333333334) = -2.2499999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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