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Simplifying -30 = w2 + -2w Reorder the terms: -30 = -2w + w2 Solving -30 = -2w + w2 Solving for variable 'w'. Reorder the terms: -30 + 2w + -1w2 = -2w + 2w + w2 + -1w2 Combine like terms: -2w + 2w = 0 -30 + 2w + -1w2 = 0 + w2 + -1w2 -30 + 2w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -30 + 2w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 30 + -2w + w2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -2w + -30 + w2 = 0 + -30 Reorder the terms: 30 + -30 + -2w + w2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2w + w2 = 0 + -30 -2w + w2 = 0 + -30 Combine like terms: 0 + -30 = -30 -2w + w2 = -30 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = -30 + 1 Reorder the terms: 1 + -2w + w2 = -30 + 1 Combine like terms: -30 + 1 = -29 1 + -2w + w2 = -29 Factor a perfect square on the left side: (w + -1)(w + -1) = -29 Can't calculate square root of the right side. The solution to this equation could not be determined.
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