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Simplifying 7x4 + -12x2 + 27 = 0 Reorder the terms: 27 + -12x2 + 7x4 = 0 Solving 27 + -12x2 + 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'. 3.857142857 + -1.714285714x2 + x4 = 0 Move the constant term to the right: Add '-3.857142857' to each side of the equation. 3.857142857 + -1.714285714x2 + -3.857142857 + x4 = 0 + -3.857142857 Reorder the terms: 3.857142857 + -3.857142857 + -1.714285714x2 + x4 = 0 + -3.857142857 Combine like terms: 3.857142857 + -3.857142857 = 0.000000000 0.000000000 + -1.714285714x2 + x4 = 0 + -3.857142857 -1.714285714x2 + x4 = 0 + -3.857142857 Combine like terms: 0 + -3.857142857 = -3.857142857 -1.714285714x2 + x4 = -3.857142857 The x term is -1.714285714x2. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714x2 + 0.7346938773 + x4 = -3.857142857 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714x2 + x4 = -3.857142857 + 0.7346938773 Combine like terms: -3.857142857 + 0.7346938773 = -3.1224489797 0.7346938773 + -1.714285714x2 + x4 = -3.1224489797 Factor a perfect square on the left side: (x2 + -0.857142857)(x2 + -0.857142857) = -3.1224489797 Can't calculate square root of the right side. The solution to this equation could not be determined.
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