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Simplifying 3w2 + 19w + 5670 = 0 Reorder the terms: 5670 + 19w + 3w2 = 0 Solving 5670 + 19w + 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'. 1890 + 6.333333333w + w2 = 0 Move the constant term to the right: Add '-1890' to each side of the equation. 1890 + 6.333333333w + -1890 + w2 = 0 + -1890 Reorder the terms: 1890 + -1890 + 6.333333333w + w2 = 0 + -1890 Combine like terms: 1890 + -1890 = 0 0 + 6.333333333w + w2 = 0 + -1890 6.333333333w + w2 = 0 + -1890 Combine like terms: 0 + -1890 = -1890 6.333333333w + w2 = -1890 The w term is 6.333333333w. Take half its coefficient (3.166666667). Square it (10.02777778) and add it to both sides. Add '10.02777778' to each side of the equation. 6.333333333w + 10.02777778 + w2 = -1890 + 10.02777778 Reorder the terms: 10.02777778 + 6.333333333w + w2 = -1890 + 10.02777778 Combine like terms: -1890 + 10.02777778 = -1879.97222222 10.02777778 + 6.333333333w + w2 = -1879.97222222 Factor a perfect square on the left side: (w + 3.166666667)(w + 3.166666667) = -1879.97222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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