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Simplifying x(5 + -7x) + -4x = 9 (5 * x + -7x * x) + -4x = 9 (5x + -7x2) + -4x = 9 Reorder the terms: 5x + -4x + -7x2 = 9 Combine like terms: 5x + -4x = 1x 1x + -7x2 = 9 Solving 1x + -7x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + 1x + -7x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 1x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.285714286 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -0.1428571429x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -0.1428571429x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -0.1428571429x + x2 = 0 + -1.285714286 -0.1428571429x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -0.1428571429x + x2 = -1.285714286 The x term is -0.1428571429x. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429x + 0.005102040819 + x2 = -1.285714286 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -1.285714286 + 0.005102040819 Combine like terms: -1.285714286 + 0.005102040819 = -1.280612245181 0.005102040819 + -0.1428571429x + x2 = -1.280612245181 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -1.280612245181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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