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Simplifying y(5 + -1y) = 176 (5 * y + -1y * y) = 176 (5y + -1y2) = 176 Solving 5y + -1y2 = 176 Solving for variable 'y'. Reorder the terms: -176 + 5y + -1y2 = 176 + -176 Combine like terms: 176 + -176 = 0 -176 + 5y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 176 + -5y + y2 = 0 Move the constant term to the right: Add '-176' to each side of the equation. 176 + -5y + -176 + y2 = 0 + -176 Reorder the terms: 176 + -176 + -5y + y2 = 0 + -176 Combine like terms: 176 + -176 = 0 0 + -5y + y2 = 0 + -176 -5y + y2 = 0 + -176 Combine like terms: 0 + -176 = -176 -5y + y2 = -176 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 = -176 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -176 + 6.25 Combine like terms: -176 + 6.25 = -169.75 6.25 + -5y + y2 = -169.75 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -169.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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