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Simplifying 10y + -1(y)(y) = 40 Multiply y * y 10y + -1y2 = 40 Solving 10y + -1y2 = 40 Solving for variable 'y'. Reorder the terms: -40 + 10y + -1y2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 10y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 40 + -10y + y2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -10y + -40 + y2 = 0 + -40 Reorder the terms: 40 + -40 + -10y + y2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10y + y2 = 0 + -40 -10y + y2 = 0 + -40 Combine like terms: 0 + -40 = -40 -10y + y2 = -40 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 = -40 + 25 Reorder the terms: 25 + -10y + y2 = -40 + 25 Combine like terms: -40 + 25 = -15 25 + -10y + y2 = -15 Factor a perfect square on the left side: (y + -5)(y + -5) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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