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Simplifying -45 + 4y + -1y2 = 0 Solving -45 + 4y + -1y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 45 + -4y + y2 = 0 Move the constant term to the right: Add '-45' to each side of the equation. 45 + -4y + -45 + y2 = 0 + -45 Reorder the terms: 45 + -45 + -4y + y2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -4y + y2 = 0 + -45 -4y + y2 = 0 + -45 Combine like terms: 0 + -45 = -45 -4y + y2 = -45 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 = -45 + 4 Reorder the terms: 4 + -4y + y2 = -45 + 4 Combine like terms: -45 + 4 = -41 4 + -4y + y2 = -41 Factor a perfect square on the left side: (y + -2)(y + -2) = -41 Can't calculate square root of the right side. The solution to this equation could not be determined.
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