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Simplifying y(10 + -1y) = 36 (10 * y + -1y * y) = 36 (10y + -1y2) = 36 Solving 10y + -1y2 = 36 Solving for variable 'y'. Reorder the terms: -36 + 10y + -1y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 10y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 36 + -10y + y2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -10y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + -10y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10y + y2 = 0 + -36 -10y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 -10y + y2 = -36 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -36 + 25 Reorder the terms: 25 + -10y + y2 = -36 + 25 Combine like terms: -36 + 25 = -11 25 + -10y + y2 = -11 Factor a perfect square on the left side: (y + -5)(y + -5) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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