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Simplifying 4y2 + -20y + 43 = 0 Reorder the terms: 43 + -20y + 4y2 = 0 Solving 43 + -20y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10.75 + -5y + y2 = 0 Move the constant term to the right: Add '-10.75' to each side of the equation. 10.75 + -5y + -10.75 + y2 = 0 + -10.75 Reorder the terms: 10.75 + -10.75 + -5y + y2 = 0 + -10.75 Combine like terms: 10.75 + -10.75 = 0.00 0.00 + -5y + y2 = 0 + -10.75 -5y + y2 = 0 + -10.75 Combine like terms: 0 + -10.75 = -10.75 -5y + y2 = -10.75 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 = -10.75 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -10.75 + 6.25 Combine like terms: -10.75 + 6.25 = -4.5 6.25 + -5y + y2 = -4.5 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -4.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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