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Simplifying 4w2 + -6w = -5 Reorder the terms: -6w + 4w2 = -5 Solving -6w + 4w2 = -5 Solving for variable 'w'. Reorder the terms: 5 + -6w + 4w2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -6w + 4w2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -1.5w + w2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1.5w + -1.25 + w2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1.5w + w2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1.5w + w2 = 0 + -1.25 -1.5w + w2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1.5w + w2 = -1.25 The w term is -1.5w. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5w + 0.5625 + w2 = -1.25 + 0.5625 Reorder the terms: 0.5625 + -1.5w + w2 = -1.25 + 0.5625 Combine like terms: -1.25 + 0.5625 = -0.6875 0.5625 + -1.5w + w2 = -0.6875 Factor a perfect square on the left side: (w + -0.75)(w + -0.75) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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