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Simplifying 8w2 + 5w + 2 = 0 Reorder the terms: 2 + 5w + 8w2 = 0 Solving 2 + 5w + 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'. 0.25 + 0.625w + w2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.625w + -0.25 + w2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.625w + w2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.625w + w2 = 0 + -0.25 0.625w + w2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.625w + w2 = -0.25 The w term is 0.625w. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625w + 0.09765625 + w2 = -0.25 + 0.09765625 Reorder the terms: 0.09765625 + 0.625w + w2 = -0.25 + 0.09765625 Combine like terms: -0.25 + 0.09765625 = -0.15234375 0.09765625 + 0.625w + w2 = -0.15234375 Factor a perfect square on the left side: (w + 0.3125)(w + 0.3125) = -0.15234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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