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Simplifying 3w(6 + -1w) + 2 = 144 (6 * 3w + -1w * 3w) + 2 = 144 (18w + -3w2) + 2 = 144 Reorder the terms: 2 + 18w + -3w2 = 144 Solving 2 + 18w + -3w2 = 144 Solving for variable 'w'. Reorder the terms: 2 + -144 + 18w + -3w2 = 144 + -144 Combine like terms: 2 + -144 = -142 -142 + 18w + -3w2 = 144 + -144 Combine like terms: 144 + -144 = 0 -142 + 18w + -3w2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 47.33333333 + -6w + w2 = 0 Move the constant term to the right: Add '-47.33333333' to each side of the equation. 47.33333333 + -6w + -47.33333333 + w2 = 0 + -47.33333333 Reorder the terms: 47.33333333 + -47.33333333 + -6w + w2 = 0 + -47.33333333 Combine like terms: 47.33333333 + -47.33333333 = 0.00000000 0.00000000 + -6w + w2 = 0 + -47.33333333 -6w + w2 = 0 + -47.33333333 Combine like terms: 0 + -47.33333333 = -47.33333333 -6w + w2 = -47.33333333 The w term is -6w. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6w + 9 + w2 = -47.33333333 + 9 Reorder the terms: 9 + -6w + w2 = -47.33333333 + 9 Combine like terms: -47.33333333 + 9 = -38.33333333 9 + -6w + w2 = -38.33333333 Factor a perfect square on the left side: (w + -3)(w + -3) = -38.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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