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Simplifying 7x4 + 2x2 + 21 = 0 Reorder the terms: 21 + 2x2 + 7x4 = 0 Solving 21 + 2x2 + 7x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3 + 0.2857142857x2 + x4 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 0.2857142857x2 + -3 + x4 = 0 + -3 Reorder the terms: 3 + -3 + 0.2857142857x2 + x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2857142857x2 + x4 = 0 + -3 0.2857142857x2 + x4 = 0 + -3 Combine like terms: 0 + -3 = -3 0.2857142857x2 + x4 = -3 The x term is 0.2857142857x2. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857x2 + 0.02040816328 + x4 = -3 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857x2 + x4 = -3 + 0.02040816328 Combine like terms: -3 + 0.02040816328 = -2.97959183672 0.02040816328 + 0.2857142857x2 + x4 = -2.97959183672 Factor a perfect square on the left side: (x2 + 0.1428571429)(x2 + 0.1428571429) = -2.97959183672 Can't calculate square root of the right side. The solution to this equation could not be determined.
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