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Simplifying 64y2 + -48y + 41 = 0 Reorder the terms: 41 + -48y + 64y2 = 0 Solving 41 + -48y + 64y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 0.640625 + -0.75y + y2 = 0 Move the constant term to the right: Add '-0.640625' to each side of the equation. 0.640625 + -0.75y + -0.640625 + y2 = 0 + -0.640625 Reorder the terms: 0.640625 + -0.640625 + -0.75y + y2 = 0 + -0.640625 Combine like terms: 0.640625 + -0.640625 = 0.000000 0.000000 + -0.75y + y2 = 0 + -0.640625 -0.75y + y2 = 0 + -0.640625 Combine like terms: 0 + -0.640625 = -0.640625 -0.75y + y2 = -0.640625 The y term is -0.75y. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75y + 0.140625 + y2 = -0.640625 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -0.640625 + 0.140625 Combine like terms: -0.640625 + 0.140625 = -0.5 0.140625 + -0.75y + y2 = -0.5 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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