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Simplifying 4y + -1y2 = 27 Solving 4y + -1y2 = 27 Solving for variable 'y'. Reorder the terms: -27 + 4y + -1y2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 4y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 27 + -4y + y2 = 0 Move the constant term to the right: Add '-27' to each side of the equation. 27 + -4y + -27 + y2 = 0 + -27 Reorder the terms: 27 + -27 + -4y + y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -4y + y2 = 0 + -27 -4y + y2 = 0 + -27 Combine like terms: 0 + -27 = -27 -4y + y2 = -27 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 = -27 + 4 Reorder the terms: 4 + -4y + y2 = -27 + 4 Combine like terms: -27 + 4 = -23 4 + -4y + y2 = -23 Factor a perfect square on the left side: (y + -2)(y + -2) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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