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Simplifying 36x4 + -4x2 + 1 = 0 Reorder the terms: 1 + -4x2 + 36x4 = 0 Solving 1 + -4x2 + 36x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.02777777778 + -0.1111111111x2 + x4 = 0 Move the constant term to the right: Add '-0.02777777778' to each side of the equation. 0.02777777778 + -0.1111111111x2 + -0.02777777778 + x4 = 0 + -0.02777777778 Reorder the terms: 0.02777777778 + -0.02777777778 + -0.1111111111x2 + x4 = 0 + -0.02777777778 Combine like terms: 0.02777777778 + -0.02777777778 = 0.00000000000 0.00000000000 + -0.1111111111x2 + x4 = 0 + -0.02777777778 -0.1111111111x2 + x4 = 0 + -0.02777777778 Combine like terms: 0 + -0.02777777778 = -0.02777777778 -0.1111111111x2 + x4 = -0.02777777778 The x term is -0.1111111111x2. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111x2 + 0.003086419752 + x4 = -0.02777777778 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x2 + x4 = -0.02777777778 + 0.003086419752 Combine like terms: -0.02777777778 + 0.003086419752 = -0.024691358028 0.003086419752 + -0.1111111111x2 + x4 = -0.024691358028 Factor a perfect square on the left side: (x2 + -0.05555555555)(x2 + -0.05555555555) = -0.024691358028 Can't calculate square root of the right side. The solution to this equation could not be determined.
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