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Simplifying 7x2 + -13x + 9 = 0 Reorder the terms: 9 + -13x + 7x2 = 0 Solving 9 + -13x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + -1.857142857x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -1.857142857x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -1.857142857x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -1.857142857x + x2 = 0 + -1.285714286 -1.857142857x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -1.857142857x + x2 = -1.285714286 The x term is -1.857142857x. Take half its coefficient (-0.9285714285). Square it (0.8622448978) and add it to both sides. Add '0.8622448978' to each side of the equation. -1.857142857x + 0.8622448978 + x2 = -1.285714286 + 0.8622448978 Reorder the terms: 0.8622448978 + -1.857142857x + x2 = -1.285714286 + 0.8622448978 Combine like terms: -1.285714286 + 0.8622448978 = -0.4234693882 0.8622448978 + -1.857142857x + x2 = -0.4234693882 Factor a perfect square on the left side: (x + -0.9285714285)(x + -0.9285714285) = -0.4234693882 Can't calculate square root of the right side. The solution to this equation could not be determined.
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