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Simplifying 8w2 + -8w + 19 = 0 Reorder the terms: 19 + -8w + 8w2 = 0 Solving 19 + -8w + 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'. 2.375 + -1w + w2 = 0 Move the constant term to the right: Add '-2.375' to each side of the equation. 2.375 + -1w + -2.375 + w2 = 0 + -2.375 Reorder the terms: 2.375 + -2.375 + -1w + w2 = 0 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + -1w + w2 = 0 + -2.375 -1w + w2 = 0 + -2.375 Combine like terms: 0 + -2.375 = -2.375 -1w + w2 = -2.375 The w term is -1w. 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. -1w + 0.25 + w2 = -2.375 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -2.375 + 0.25 Combine like terms: -2.375 + 0.25 = -2.125 0.25 + -1w + w2 = -2.125 Factor a perfect square on the left side: (w + -0.5)(w + -0.5) = -2.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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