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Simplifying 0 = w2 + -2w + 9 Reorder the terms: 0 = 9 + -2w + w2 Solving 0 = 9 + -2w + w2 Solving for variable 'w'. Combine like terms: 0 + -9 = -9 -9 + 2w + -1w2 = 9 + -2w + w2 + -9 + 2w + -1w2 Reorder the terms: -9 + 2w + -1w2 = 9 + -9 + -2w + 2w + w2 + -1w2 Combine like terms: 9 + -9 = 0 -9 + 2w + -1w2 = 0 + -2w + 2w + w2 + -1w2 -9 + 2w + -1w2 = -2w + 2w + w2 + -1w2 Combine like terms: -2w + 2w = 0 -9 + 2w + -1w2 = 0 + w2 + -1w2 -9 + 2w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -9 + 2w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -2w + w2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -2w + -9 + w2 = 0 + -9 Reorder the terms: 9 + -9 + -2w + w2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2w + w2 = 0 + -9 -2w + w2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2w + w2 = -9 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 = -9 + 1 Reorder the terms: 1 + -2w + w2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + -2w + w2 = -8 Factor a perfect square on the left side: (w + -1)(w + -1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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