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Simplifying y(y + -5) = -750 Reorder the terms: y(-5 + y) = -750 (-5 * y + y * y) = -750 (-5y + y2) = -750 Solving -5y + y2 = -750 Solving for variable 'y'. Reorder the terms: 750 + -5y + y2 = -750 + 750 Combine like terms: -750 + 750 = 0 750 + -5y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-750' to each side of the equation. 750 + -5y + -750 + y2 = 0 + -750 Reorder the terms: 750 + -750 + -5y + y2 = 0 + -750 Combine like terms: 750 + -750 = 0 0 + -5y + y2 = 0 + -750 -5y + y2 = 0 + -750 Combine like terms: 0 + -750 = -750 -5y + y2 = -750 The y term is -5y. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5y + 6.25 + y2 = -750 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -750 + 6.25 Combine like terms: -750 + 6.25 = -743.75 6.25 + -5y + y2 = -743.75 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -743.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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