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Simplifying (7x2) + 8x + 3 = 0 Reorder the terms: 3 + 8x + (7x2) = 0 Solving 3 + 8x + (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'. 0.4285714286 + 1.142857143x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 1.142857143x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 1.142857143x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 1.142857143x + x2 = 0 + -0.4285714286 1.142857143x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 1.142857143x + x2 = -0.4285714286 The x term is 1.142857143x. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143x + 0.3265306123 + x2 = -0.4285714286 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143x + x2 = -0.4285714286 + 0.3265306123 Combine like terms: -0.4285714286 + 0.3265306123 = -0.1020408163 0.3265306123 + 1.142857143x + x2 = -0.1020408163 Factor a perfect square on the left side: ((x) + 0.5714285715)((x) + 0.5714285715) = -0.1020408163 Can't calculate square root of the right side. The solution to this equation could not be determined.
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