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Simplifying 8w2 + 2w + 21 = 0 Reorder the terms: 21 + 2w + 8w2 = 0 Solving 21 + 2w + 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'. 2.625 + 0.25w + w2 = 0 Move the constant term to the right: Add '-2.625' to each side of the equation. 2.625 + 0.25w + -2.625 + w2 = 0 + -2.625 Reorder the terms: 2.625 + -2.625 + 0.25w + w2 = 0 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + 0.25w + w2 = 0 + -2.625 0.25w + w2 = 0 + -2.625 Combine like terms: 0 + -2.625 = -2.625 0.25w + w2 = -2.625 The w term is 0.25w. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25w + 0.015625 + w2 = -2.625 + 0.015625 Reorder the terms: 0.015625 + 0.25w + w2 = -2.625 + 0.015625 Combine like terms: -2.625 + 0.015625 = -2.609375 0.015625 + 0.25w + w2 = -2.609375 Factor a perfect square on the left side: (w + 0.125)(w + 0.125) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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