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Simplifying -8w2 + 6w + -13 = 0 Reorder the terms: -13 + 6w + -8w2 = 0 Solving -13 + 6w + -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'. 1.625 + -0.75w + w2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + -0.75w + -1.625 + w2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + -0.75w + w2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + -0.75w + w2 = 0 + -1.625 -0.75w + w2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 -0.75w + w2 = -1.625 The w term is -0.75w. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75w + 0.140625 + w2 = -1.625 + 0.140625 Reorder the terms: 0.140625 + -0.75w + w2 = -1.625 + 0.140625 Combine like terms: -1.625 + 0.140625 = -1.484375 0.140625 + -0.75w + w2 = -1.484375 Factor a perfect square on the left side: (w + -0.375)(w + -0.375) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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