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Simplifying 32y2 + -10y + 1 = 0 Reorder the terms: 1 + -10y + 32y2 = 0 Solving 1 + -10y + 32y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.03125 + -0.3125y + y2 = 0 Move the constant term to the right: Add '-0.03125' to each side of the equation. 0.03125 + -0.3125y + -0.03125 + y2 = 0 + -0.03125 Reorder the terms: 0.03125 + -0.03125 + -0.3125y + y2 = 0 + -0.03125 Combine like terms: 0.03125 + -0.03125 = 0.00000 0.00000 + -0.3125y + y2 = 0 + -0.03125 -0.3125y + y2 = 0 + -0.03125 Combine like terms: 0 + -0.03125 = -0.03125 -0.3125y + y2 = -0.03125 The y term is -0.3125y. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125y + 0.0244140625 + y2 = -0.03125 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125y + y2 = -0.03125 + 0.0244140625 Combine like terms: -0.03125 + 0.0244140625 = -0.0068359375 0.0244140625 + -0.3125y + y2 = -0.0068359375 Factor a perfect square on the left side: (y + -0.15625)(y + -0.15625) = -0.0068359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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