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Simplifying 3w2 + -8w + 12 = 0 Reorder the terms: 12 + -8w + 3w2 = 0 Solving 12 + -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'. 4 + -2.666666667w + w2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.666666667w + -4 + w2 = 0 + -4 Reorder the terms: 4 + -4 + -2.666666667w + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.666666667w + w2 = 0 + -4 -2.666666667w + w2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.666666667w + w2 = -4 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 = -4 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667w + w2 = -4 + 1.777777780 Combine like terms: -4 + 1.777777780 = -2.22222222 1.777777780 + -2.666666667w + w2 = -2.22222222 Factor a perfect square on the left side: (w + -1.333333334)(w + -1.333333334) = -2.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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