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Simplifying 0 = y2 + -2y + 4 Reorder the terms: 0 = 4 + -2y + y2 Solving 0 = 4 + -2y + y2 Solving for variable 'y'. Combine like terms: 0 + -4 = -4 -4 + 2y + -1y2 = 4 + -2y + y2 + -4 + 2y + -1y2 Reorder the terms: -4 + 2y + -1y2 = 4 + -4 + -2y + 2y + y2 + -1y2 Combine like terms: 4 + -4 = 0 -4 + 2y + -1y2 = 0 + -2y + 2y + y2 + -1y2 -4 + 2y + -1y2 = -2y + 2y + y2 + -1y2 Combine like terms: -2y + 2y = 0 -4 + 2y + -1y2 = 0 + y2 + -1y2 -4 + 2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -4 + 2y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -2y + y2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + -2y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2y + y2 = 0 + -4 -2y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2y + y2 = -4 The y term is -2y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2y + 1 + y2 = -4 + 1 Reorder the terms: 1 + -2y + y2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2y + y2 = -3 Factor a perfect square on the left side: (y + -1)(y + -1) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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