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Simplifying -1w2 + w = 12 Reorder the terms: w + -1w2 = 12 Solving w + -1w2 = 12 Solving for variable 'w'. Reorder the terms: -12 + w + -1w2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 12 + -1w + w2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1w + -12 + w2 = 0 + -12 Reorder the terms: 12 + -12 + -1w + w2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w + w2 = 0 + -12 -1w + w2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1w + w2 = -12 The w term is w. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1w + 0.25 + w2 = -12 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + -1w + w2 = -11.75 Factor a perfect square on the left side: (w + 0.5)(w + 0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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