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Simplifying 4y2 = 2y + -1 Reorder the terms: 4y2 = -1 + 2y Solving 4y2 = -1 + 2y Solving for variable 'y'. Reorder the terms: 1 + -2y + 4y2 = -1 + 2y + 1 + -2y Reorder the terms: 1 + -2y + 4y2 = -1 + 1 + 2y + -2y Combine like terms: -1 + 1 = 0 1 + -2y + 4y2 = 0 + 2y + -2y 1 + -2y + 4y2 = 2y + -2y Combine like terms: 2y + -2y = 0 1 + -2y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + -0.5y + y2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.5y + -0.25 + y2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.5y + y2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.5y + y2 = 0 + -0.25 -0.5y + y2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.5y + y2 = -0.25 The y term is -0.5y. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5y + 0.0625 + y2 = -0.25 + 0.0625 Reorder the terms: 0.0625 + -0.5y + y2 = -0.25 + 0.0625 Combine like terms: -0.25 + 0.0625 = -0.1875 0.0625 + -0.5y + y2 = -0.1875 Factor a perfect square on the left side: (y + -0.25)(y + -0.25) = -0.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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