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Simplifying 8w2 + 18w + 81 = 0 Reorder the terms: 81 + 18w + 8w2 = 0 Solving 81 + 18w + 8w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 10.125 + 2.25w + w2 = 0 Move the constant term to the right: Add '-10.125' to each side of the equation. 10.125 + 2.25w + -10.125 + w2 = 0 + -10.125 Reorder the terms: 10.125 + -10.125 + 2.25w + w2 = 0 + -10.125 Combine like terms: 10.125 + -10.125 = 0.000 0.000 + 2.25w + w2 = 0 + -10.125 2.25w + w2 = 0 + -10.125 Combine like terms: 0 + -10.125 = -10.125 2.25w + w2 = -10.125 The w term is 2.25w. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25w + 1.265625 + w2 = -10.125 + 1.265625 Reorder the terms: 1.265625 + 2.25w + w2 = -10.125 + 1.265625 Combine like terms: -10.125 + 1.265625 = -8.859375 1.265625 + 2.25w + w2 = -8.859375 Factor a perfect square on the left side: (w + 1.125)(w + 1.125) = -8.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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