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Simplifying 4w2 + 12w + 25 = 0 Reorder the terms: 25 + 12w + 4w2 = 0 Solving 25 + 12w + 4w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.25 + 3w + w2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + 3w + -6.25 + w2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + 3w + w2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + 3w + w2 = 0 + -6.25 3w + w2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 3w + w2 = -6.25 The w term is 3w. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3w + 2.25 + w2 = -6.25 + 2.25 Reorder the terms: 2.25 + 3w + w2 = -6.25 + 2.25 Combine like terms: -6.25 + 2.25 = -4 2.25 + 3w + w2 = -4 Factor a perfect square on the left side: (w + 1.5)(w + 1.5) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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