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Simplifying 3w2 + -16w + 60 = 0 Reorder the terms: 60 + -16w + 3w2 = 0 Solving 60 + -16w + 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 + -5.333333333w + w2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -5.333333333w + -20 + w2 = 0 + -20 Reorder the terms: 20 + -20 + -5.333333333w + w2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5.333333333w + w2 = 0 + -20 -5.333333333w + w2 = 0 + -20 Combine like terms: 0 + -20 = -20 -5.333333333w + w2 = -20 The w term is -5.333333333w. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333w + 7.111111113 + w2 = -20 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333w + w2 = -20 + 7.111111113 Combine like terms: -20 + 7.111111113 = -12.888888887 7.111111113 + -5.333333333w + w2 = -12.888888887 Factor a perfect square on the left side: (w + -2.666666667)(w + -2.666666667) = -12.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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