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Simplifying 0 = -4y2 + 20y + -39 Reorder the terms: 0 = -39 + 20y + -4y2 Solving 0 = -39 + 20y + -4y2 Solving for variable 'y'. Combine like terms: 0 + 39 = 39 39 + -20y + 4y2 = -39 + 20y + -4y2 + 39 + -20y + 4y2 Reorder the terms: 39 + -20y + 4y2 = -39 + 39 + 20y + -20y + -4y2 + 4y2 Combine like terms: -39 + 39 = 0 39 + -20y + 4y2 = 0 + 20y + -20y + -4y2 + 4y2 39 + -20y + 4y2 = 20y + -20y + -4y2 + 4y2 Combine like terms: 20y + -20y = 0 39 + -20y + 4y2 = 0 + -4y2 + 4y2 39 + -20y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 39 + -20y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 9.75 + -5y + y2 = 0 Move the constant term to the right: Add '-9.75' to each side of the equation. 9.75 + -5y + -9.75 + y2 = 0 + -9.75 Reorder the terms: 9.75 + -9.75 + -5y + y2 = 0 + -9.75 Combine like terms: 9.75 + -9.75 = 0.00 0.00 + -5y + y2 = 0 + -9.75 -5y + y2 = 0 + -9.75 Combine like terms: 0 + -9.75 = -9.75 -5y + y2 = -9.75 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 = -9.75 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -9.75 + 6.25 Combine like terms: -9.75 + 6.25 = -3.5 6.25 + -5y + y2 = -3.5 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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