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Simplifying 7w2 + -5w + 9 = 0 Reorder the terms: 9 + -5w + 7w2 = 0 Solving 9 + -5w + 7w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + -0.7142857143w + w2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -0.7142857143w + -1.285714286 + w2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -0.7142857143w + w2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -0.7142857143w + w2 = 0 + -1.285714286 -0.7142857143w + w2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -0.7142857143w + w2 = -1.285714286 The w term is -0.7142857143w. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143w + 0.1275510204 + w2 = -1.285714286 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143w + w2 = -1.285714286 + 0.1275510204 Combine like terms: -1.285714286 + 0.1275510204 = -1.1581632656 0.1275510204 + -0.7142857143w + w2 = -1.1581632656 Factor a perfect square on the left side: (w + -0.3571428572)(w + -0.3571428572) = -1.1581632656 Can't calculate square root of the right side. The solution to this equation could not be determined.
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