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Simplifying 8w2 + -20w + 15 = 0 Reorder the terms: 15 + -20w + 8w2 = 0 Solving 15 + -20w + 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'. 1.875 + -2.5w + w2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -2.5w + -1.875 + w2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -2.5w + w2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -2.5w + w2 = 0 + -1.875 -2.5w + w2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -2.5w + w2 = -1.875 The w term is -2.5w. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5w + 1.5625 + w2 = -1.875 + 1.5625 Reorder the terms: 1.5625 + -2.5w + w2 = -1.875 + 1.5625 Combine like terms: -1.875 + 1.5625 = -0.3125 1.5625 + -2.5w + w2 = -0.3125 Factor a perfect square on the left side: (w + -1.25)(w + -1.25) = -0.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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