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Simplifying 2w2 + 11w + 19 + w2 + 2w + 2 = 0 Reorder the terms: 19 + 2 + 11w + 2w + 2w2 + w2 = 0 Combine like terms: 19 + 2 = 21 21 + 11w + 2w + 2w2 + w2 = 0 Combine like terms: 11w + 2w = 13w 21 + 13w + 2w2 + w2 = 0 Combine like terms: 2w2 + w2 = 3w2 21 + 13w + 3w2 = 0 Solving 21 + 13w + 3w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7 + 4.333333333w + w2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4.333333333w + -7 + w2 = 0 + -7 Reorder the terms: 7 + -7 + 4.333333333w + w2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4.333333333w + w2 = 0 + -7 4.333333333w + w2 = 0 + -7 Combine like terms: 0 + -7 = -7 4.333333333w + w2 = -7 The w term is 4.333333333w. Take half its coefficient (2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. 4.333333333w + 4.694444446 + w2 = -7 + 4.694444446 Reorder the terms: 4.694444446 + 4.333333333w + w2 = -7 + 4.694444446 Combine like terms: -7 + 4.694444446 = -2.305555554 4.694444446 + 4.333333333w + w2 = -2.305555554 Factor a perfect square on the left side: (w + 2.166666667)(w + 2.166666667) = -2.305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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