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Simplifying 7x2 + 5x = -9 Reorder the terms: 5x + 7x2 = -9 Solving 5x + 7x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 5x + 7x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 0.7142857143x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 0.7142857143x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 0.7142857143x + x2 = 0 + -1.285714286 0.7142857143x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 0.7142857143x + x2 = -1.285714286 The x term is 0.7142857143x. 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. 0.7142857143x + 0.1275510204 + x2 = -1.285714286 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -1.285714286 + 0.1275510204 Combine like terms: -1.285714286 + 0.1275510204 = -1.1581632656 0.1275510204 + 0.7142857143x + x2 = -1.1581632656 Factor a perfect square on the left side: (x + 0.3571428572)(x + 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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