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Simplifying 0 = y2 + -2y + 36 Reorder the terms: 0 = 36 + -2y + y2 Solving 0 = 36 + -2y + y2 Solving for variable 'y'. Combine like terms: 0 + -36 = -36 -36 + 2y + -1y2 = 36 + -2y + y2 + -36 + 2y + -1y2 Reorder the terms: -36 + 2y + -1y2 = 36 + -36 + -2y + 2y + y2 + -1y2 Combine like terms: 36 + -36 = 0 -36 + 2y + -1y2 = 0 + -2y + 2y + y2 + -1y2 -36 + 2y + -1y2 = -2y + 2y + y2 + -1y2 Combine like terms: -2y + 2y = 0 -36 + 2y + -1y2 = 0 + y2 + -1y2 -36 + 2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -36 + 2y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 36 + -2y + y2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -2y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + -2y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2y + y2 = 0 + -36 -2y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 -2y + y2 = -36 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 = -36 + 1 Reorder the terms: 1 + -2y + y2 = -36 + 1 Combine like terms: -36 + 1 = -35 1 + -2y + y2 = -35 Factor a perfect square on the left side: (y + -1)(y + -1) = -35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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