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Simplifying 25w2 + -10w = -3 Reorder the terms: -10w + 25w2 = -3 Solving -10w + 25w2 = -3 Solving for variable 'w'. Reorder the terms: 3 + -10w + 25w2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -10w + 25w2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.12 + -0.4w + w2 = 0 Move the constant term to the right: Add '-0.12' to each side of the equation. 0.12 + -0.4w + -0.12 + w2 = 0 + -0.12 Reorder the terms: 0.12 + -0.12 + -0.4w + w2 = 0 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.4w + w2 = 0 + -0.12 -0.4w + w2 = 0 + -0.12 Combine like terms: 0 + -0.12 = -0.12 -0.4w + w2 = -0.12 The w term is -0.4w. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4w + 0.04 + w2 = -0.12 + 0.04 Reorder the terms: 0.04 + -0.4w + w2 = -0.12 + 0.04 Combine like terms: -0.12 + 0.04 = -0.08 0.04 + -0.4w + w2 = -0.08 Factor a perfect square on the left side: (w + -0.2)(w + -0.2) = -0.08 Can't calculate square root of the right side. The solution to this equation could not be determined.
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