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Simplifying 0 = 3x4 + -4x2 + 81 Reorder the terms: 0 = 81 + -4x2 + 3x4 Solving 0 = 81 + -4x2 + 3x4 Solving for variable 'x'. Combine like terms: 0 + -81 = -81 -81 + 4x2 + -3x4 = 81 + -4x2 + 3x4 + -81 + 4x2 + -3x4 Reorder the terms: -81 + 4x2 + -3x4 = 81 + -81 + -4x2 + 4x2 + 3x4 + -3x4 Combine like terms: 81 + -81 = 0 -81 + 4x2 + -3x4 = 0 + -4x2 + 4x2 + 3x4 + -3x4 -81 + 4x2 + -3x4 = -4x2 + 4x2 + 3x4 + -3x4 Combine like terms: -4x2 + 4x2 = 0 -81 + 4x2 + -3x4 = 0 + 3x4 + -3x4 -81 + 4x2 + -3x4 = 3x4 + -3x4 Combine like terms: 3x4 + -3x4 = 0 -81 + 4x2 + -3x4 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 27 + -1.333333333x2 + x4 = 0 Move the constant term to the right: Add '-27' to each side of the equation. 27 + -1.333333333x2 + -27 + x4 = 0 + -27 Reorder the terms: 27 + -27 + -1.333333333x2 + x4 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1.333333333x2 + x4 = 0 + -27 -1.333333333x2 + x4 = 0 + -27 Combine like terms: 0 + -27 = -27 -1.333333333x2 + x4 = -27 The x term is -1.333333333x2. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x2 + 0.4444444442 + x4 = -27 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x2 + x4 = -27 + 0.4444444442 Combine like terms: -27 + 0.4444444442 = -26.5555555558 0.4444444442 + -1.333333333x2 + x4 = -26.5555555558 Factor a perfect square on the left side: (x2 + -0.6666666665)(x2 + -0.6666666665) = -26.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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