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Simplifying 4y2 + -19y + 41 = 0 Reorder the terms: 41 + -19y + 4y2 = 0 Solving 41 + -19y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10.25 + -4.75y + y2 = 0 Move the constant term to the right: Add '-10.25' to each side of the equation. 10.25 + -4.75y + -10.25 + y2 = 0 + -10.25 Reorder the terms: 10.25 + -10.25 + -4.75y + y2 = 0 + -10.25 Combine like terms: 10.25 + -10.25 = 0.00 0.00 + -4.75y + y2 = 0 + -10.25 -4.75y + y2 = 0 + -10.25 Combine like terms: 0 + -10.25 = -10.25 -4.75y + y2 = -10.25 The y term is -4.75y. Take half its coefficient (-2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. -4.75y + 5.640625 + y2 = -10.25 + 5.640625 Reorder the terms: 5.640625 + -4.75y + y2 = -10.25 + 5.640625 Combine like terms: -10.25 + 5.640625 = -4.609375 5.640625 + -4.75y + y2 = -4.609375 Factor a perfect square on the left side: (y + -2.375)(y + -2.375) = -4.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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