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Simplifying 7x4 + -1x2 + 3 = 0 Reorder the terms: 3 + -1x2 + 7x4 = 0 Solving 3 + -1x2 + 7x4 = 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 + -0.1428571429x2 + x4 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.1428571429x2 + -0.4285714286 + x4 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.1428571429x2 + x4 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.1428571429x2 + x4 = 0 + -0.4285714286 -0.1428571429x2 + x4 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.1428571429x2 + x4 = -0.4285714286 The x term is -0.1428571429x2. 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. -0.1428571429x2 + 0.005102040819 + x4 = -0.4285714286 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x2 + x4 = -0.4285714286 + 0.005102040819 Combine like terms: -0.4285714286 + 0.005102040819 = -0.423469387781 0.005102040819 + -0.1428571429x2 + x4 = -0.423469387781 Factor a perfect square on the left side: (x2 + -0.07142857145)(x2 + -0.07142857145) = -0.423469387781 Can't calculate square root of the right side. The solution to this equation could not be determined.
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