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Simplifying 3w2 + -7w + 120 = 0 Reorder the terms: 120 + -7w + 3w2 = 0 Solving 120 + -7w + 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'. 40 + -2.333333333w + w2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -2.333333333w + -40 + w2 = 0 + -40 Reorder the terms: 40 + -40 + -2.333333333w + w2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2.333333333w + w2 = 0 + -40 -2.333333333w + w2 = 0 + -40 Combine like terms: 0 + -40 = -40 -2.333333333w + w2 = -40 The w term is -2.333333333w. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333w + 1.361111112 + w2 = -40 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333w + w2 = -40 + 1.361111112 Combine like terms: -40 + 1.361111112 = -38.638888888 1.361111112 + -2.333333333w + w2 = -38.638888888 Factor a perfect square on the left side: (w + -1.166666667)(w + -1.166666667) = -38.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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