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Simplifying y(y + 5) = y + -15 Reorder the terms: y(5 + y) = y + -15 (5 * y + y * y) = y + -15 (5y + y2) = y + -15 Reorder the terms: 5y + y2 = -15 + y Solving 5y + y2 = -15 + y Solving for variable 'y'. Reorder the terms: 15 + 5y + -1y + y2 = -15 + y + 15 + -1y Combine like terms: 5y + -1y = 4y 15 + 4y + y2 = -15 + y + 15 + -1y Reorder the terms: 15 + 4y + y2 = -15 + 15 + y + -1y Combine like terms: -15 + 15 = 0 15 + 4y + y2 = 0 + y + -1y 15 + 4y + y2 = y + -1y Combine like terms: y + -1y = 0 15 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 4y + -15 + y2 = 0 + -15 Reorder the terms: 15 + -15 + 4y + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4y + y2 = 0 + -15 4y + y2 = 0 + -15 Combine like terms: 0 + -15 = -15 4y + y2 = -15 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = -15 + 4 Reorder the terms: 4 + 4y + y2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + 4y + y2 = -11 Factor a perfect square on the left side: (y + 2)(y + 2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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