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Simplifying 100y2 + -2y + 1 = 0 Reorder the terms: 1 + -2y + 100y2 = 0 Solving 1 + -2y + 100y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.01 + -0.02y + y2 = 0 Move the constant term to the right: Add '-0.01' to each side of the equation. 0.01 + -0.02y + -0.01 + y2 = 0 + -0.01 Reorder the terms: 0.01 + -0.01 + -0.02y + y2 = 0 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.02y + y2 = 0 + -0.01 -0.02y + y2 = 0 + -0.01 Combine like terms: 0 + -0.01 = -0.01 -0.02y + y2 = -0.01 The y term is -0.02y. Take half its coefficient (-0.01). Square it (0.0001) and add it to both sides. Add '0.0001' to each side of the equation. -0.02y + 0.0001 + y2 = -0.01 + 0.0001 Reorder the terms: 0.0001 + -0.02y + y2 = -0.01 + 0.0001 Combine like terms: -0.01 + 0.0001 = -0.0099 0.0001 + -0.02y + y2 = -0.0099 Factor a perfect square on the left side: (y + -0.01)(y + -0.01) = -0.0099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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