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Simplifying 36y2 + -45y + 35 = 0 Reorder the terms: 35 + -45y + 36y2 = 0 Solving 35 + -45y + 36y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.9722222222 + -1.25y + y2 = 0 Move the constant term to the right: Add '-0.9722222222' to each side of the equation. 0.9722222222 + -1.25y + -0.9722222222 + y2 = 0 + -0.9722222222 Reorder the terms: 0.9722222222 + -0.9722222222 + -1.25y + y2 = 0 + -0.9722222222 Combine like terms: 0.9722222222 + -0.9722222222 = 0.0000000000 0.0000000000 + -1.25y + y2 = 0 + -0.9722222222 -1.25y + y2 = 0 + -0.9722222222 Combine like terms: 0 + -0.9722222222 = -0.9722222222 -1.25y + y2 = -0.9722222222 The y term is -1.25y. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25y + 0.390625 + y2 = -0.9722222222 + 0.390625 Reorder the terms: 0.390625 + -1.25y + y2 = -0.9722222222 + 0.390625 Combine like terms: -0.9722222222 + 0.390625 = -0.5815972222 0.390625 + -1.25y + y2 = -0.5815972222 Factor a perfect square on the left side: (y + -0.625)(y + -0.625) = -0.5815972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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