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Simplifying (y + -5)(y + -1) + -1y = -13 Reorder the terms: (-5 + y)(y + -1) + -1y = -13 Reorder the terms: (-5 + y)(-1 + y) + -1y = -13 Multiply (-5 + y) * (-1 + y) (-5(-1 + y) + y(-1 + y)) + -1y = -13 ((-1 * -5 + y * -5) + y(-1 + y)) + -1y = -13 ((5 + -5y) + y(-1 + y)) + -1y = -13 (5 + -5y + (-1 * y + y * y)) + -1y = -13 (5 + -5y + (-1y + y2)) + -1y = -13 Combine like terms: -5y + -1y = -6y (5 + -6y + y2) + -1y = -13 Reorder the terms: 5 + -6y + -1y + y2 = -13 Combine like terms: -6y + -1y = -7y 5 + -7y + y2 = -13 Solving 5 + -7y + y2 = -13 Solving for variable 'y'. Reorder the terms: 5 + 13 + -7y + y2 = -13 + 13 Combine like terms: 5 + 13 = 18 18 + -7y + y2 = -13 + 13 Combine like terms: -13 + 13 = 0 18 + -7y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -7y + -18 + y2 = 0 + -18 Reorder the terms: 18 + -18 + -7y + y2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7y + y2 = 0 + -18 -7y + y2 = 0 + -18 Combine like terms: 0 + -18 = -18 -7y + y2 = -18 The y term is -7y. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7y + 12.25 + y2 = -18 + 12.25 Reorder the terms: 12.25 + -7y + y2 = -18 + 12.25 Combine like terms: -18 + 12.25 = -5.75 12.25 + -7y + y2 = -5.75 Factor a perfect square on the left side: (y + -3.5)(y + -3.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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