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Simplifying -1.000489429x4 + 0.0522519159x2 + -1 = 0 Reorder the terms: -1 + 0.0522519159x2 + -1.000489429x4 = 0 Solving -1 + 0.0522519159x2 + -1.000489429x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1.000489429 the coefficient of the squared term: Divide each side by '-1.000489429'. 0.9995108104 + -0.05222635481x2 + x4 = 0 Move the constant term to the right: Add '-0.9995108104' to each side of the equation. 0.9995108104 + -0.05222635481x2 + -0.9995108104 + x4 = 0 + -0.9995108104 Reorder the terms: 0.9995108104 + -0.9995108104 + -0.05222635481x2 + x4 = 0 + -0.9995108104 Combine like terms: 0.9995108104 + -0.9995108104 = 0.0000000000 0.0000000000 + -0.05222635481x2 + x4 = 0 + -0.9995108104 -0.05222635481x2 + x4 = 0 + -0.9995108104 Combine like terms: 0 + -0.9995108104 = -0.9995108104 -0.05222635481x2 + x4 = -0.9995108104 The x term is -0.05222635481x2. Take half its coefficient (-0.02611317741). Square it (0.0006818980344) and add it to both sides. Add '0.0006818980344' to each side of the equation. -0.05222635481x2 + 0.0006818980344 + x4 = -0.9995108104 + 0.0006818980344 Reorder the terms: 0.0006818980344 + -0.05222635481x2 + x4 = -0.9995108104 + 0.0006818980344 Combine like terms: -0.9995108104 + 0.0006818980344 = -0.9988289123656 0.0006818980344 + -0.05222635481x2 + x4 = -0.9988289123656 Factor a perfect square on the left side: (x2 + -0.02611317741)(x2 + -0.02611317741) = -0.9988289123656 Can't calculate square root of the right side. The solution to this equation could not be determined.
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