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Simplifying 12x4 + -13x2 + 5 = 0 Reorder the terms: 5 + -13x2 + 12x4 = 0 Solving 5 + -13x2 + 12x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.4166666667 + -1.083333333x2 + x4 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + -1.083333333x2 + -0.4166666667 + x4 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + -1.083333333x2 + x4 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + -1.083333333x2 + x4 = 0 + -0.4166666667 -1.083333333x2 + x4 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 -1.083333333x2 + x4 = -0.4166666667 The x term is -1.083333333x2. Take half its coefficient (-0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. -1.083333333x2 + 0.2934027776 + x4 = -0.4166666667 + 0.2934027776 Reorder the terms: 0.2934027776 + -1.083333333x2 + x4 = -0.4166666667 + 0.2934027776 Combine like terms: -0.4166666667 + 0.2934027776 = -0.1232638891 0.2934027776 + -1.083333333x2 + x4 = -0.1232638891 Factor a perfect square on the left side: (x2 + -0.5416666665)(x2 + -0.5416666665) = -0.1232638891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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