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Simplifying 4y2 + -27y + 147 = 0 Reorder the terms: 147 + -27y + 4y2 = 0 Solving 147 + -27y + 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'. 36.75 + -6.75y + y2 = 0 Move the constant term to the right: Add '-36.75' to each side of the equation. 36.75 + -6.75y + -36.75 + y2 = 0 + -36.75 Reorder the terms: 36.75 + -36.75 + -6.75y + y2 = 0 + -36.75 Combine like terms: 36.75 + -36.75 = 0.00 0.00 + -6.75y + y2 = 0 + -36.75 -6.75y + y2 = 0 + -36.75 Combine like terms: 0 + -36.75 = -36.75 -6.75y + y2 = -36.75 The y term is -6.75y. Take half its coefficient (-3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. -6.75y + 11.390625 + y2 = -36.75 + 11.390625 Reorder the terms: 11.390625 + -6.75y + y2 = -36.75 + 11.390625 Combine like terms: -36.75 + 11.390625 = -25.359375 11.390625 + -6.75y + y2 = -25.359375 Factor a perfect square on the left side: (y + -3.375)(y + -3.375) = -25.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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