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Simplifying -4y2 + 4y + -3 = 0 Reorder the terms: -3 + 4y + -4y2 = 0 Solving -3 + 4y + -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'. 0.75 + -1y + y2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -1y + -0.75 + y2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -1y + y2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1y + y2 = 0 + -0.75 -1y + y2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -1y + y2 = -0.75 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = -0.75 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -0.75 + 0.25 Combine like terms: -0.75 + 0.25 = -0.5 0.25 + -1y + y2 = -0.5 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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