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