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Simplifying 2w2 + -18w + 37 + w2 + 5w + 5w + 25 = 0 Reorder the terms: 37 + 25 + -18w + 5w + 5w + 2w2 + w2 = 0 Combine like terms: 37 + 25 = 62 62 + -18w + 5w + 5w + 2w2 + w2 = 0 Combine like terms: -18w + 5w = -13w 62 + -13w + 5w + 2w2 + w2 = 0 Combine like terms: -13w + 5w = -8w 62 + -8w + 2w2 + w2 = 0 Combine like terms: 2w2 + w2 = 3w2 62 + -8w + 3w2 = 0 Solving 62 + -8w + 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'. 20.66666667 + -2.666666667w + w2 = 0 Move the constant term to the right: Add '-20.66666667' to each side of the equation. 20.66666667 + -2.666666667w + -20.66666667 + w2 = 0 + -20.66666667 Reorder the terms: 20.66666667 + -20.66666667 + -2.666666667w + w2 = 0 + -20.66666667 Combine like terms: 20.66666667 + -20.66666667 = 0.00000000 0.00000000 + -2.666666667w + w2 = 0 + -20.66666667 -2.666666667w + w2 = 0 + -20.66666667 Combine like terms: 0 + -20.66666667 = -20.66666667 -2.666666667w + w2 = -20.66666667 The w term is -2.666666667w. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667w + 1.777777780 + w2 = -20.66666667 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667w + w2 = -20.66666667 + 1.777777780 Combine like terms: -20.66666667 + 1.777777780 = -18.88888889 1.777777780 + -2.666666667w + w2 = -18.88888889 Factor a perfect square on the left side: (w + -1.333333334)(w + -1.333333334) = -18.88888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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