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Simplifying 2y2 + -2y + 37 = y2 + 16 Reorder the terms: 37 + -2y + 2y2 = y2 + 16 Reorder the terms: 37 + -2y + 2y2 = 16 + y2 Solving 37 + -2y + 2y2 = 16 + y2 Solving for variable 'y'. Reorder the terms: 37 + -16 + -2y + 2y2 + -1y2 = 16 + y2 + -16 + -1y2 Combine like terms: 37 + -16 = 21 21 + -2y + 2y2 + -1y2 = 16 + y2 + -16 + -1y2 Combine like terms: 2y2 + -1y2 = 1y2 21 + -2y + 1y2 = 16 + y2 + -16 + -1y2 Reorder the terms: 21 + -2y + 1y2 = 16 + -16 + y2 + -1y2 Combine like terms: 16 + -16 = 0 21 + -2y + 1y2 = 0 + y2 + -1y2 21 + -2y + 1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 21 + -2y + 1y2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -2y + -21 + y2 = 0 + -21 Reorder the terms: 21 + -21 + -2y + y2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2y + y2 = 0 + -21 -2y + y2 = 0 + -21 Combine like terms: 0 + -21 = -21 -2y + y2 = -21 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 = -21 + 1 Reorder the terms: 1 + -2y + y2 = -21 + 1 Combine like terms: -21 + 1 = -20 1 + -2y + y2 = -20 Factor a perfect square on the left side: (y + -1)(y + -1) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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