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Simplifying 14x4 + -1x2 + 49 = 0 Reorder the terms: 49 + -1x2 + 14x4 = 0 Solving 49 + -1x2 + 14x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 3.5 + -0.07142857143x2 + x4 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -0.07142857143x2 + -3.5 + x4 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -0.07142857143x2 + x4 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.07142857143x2 + x4 = 0 + -3.5 -0.07142857143x2 + x4 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -0.07142857143x2 + x4 = -3.5 The x term is -0.07142857143x2. Take half its coefficient (-0.03571428572). Square it (0.001275510204) and add it to both sides. Add '0.001275510204' to each side of the equation. -0.07142857143x2 + 0.001275510204 + x4 = -3.5 + 0.001275510204 Reorder the terms: 0.001275510204 + -0.07142857143x2 + x4 = -3.5 + 0.001275510204 Combine like terms: -3.5 + 0.001275510204 = -3.498724489796 0.001275510204 + -0.07142857143x2 + x4 = -3.498724489796 Factor a perfect square on the left side: (x2 + -0.03571428572)(x2 + -0.03571428572) = -3.498724489796 Can't calculate square root of the right side. The solution to this equation could not be determined.
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