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Simplifying 35x4 + 12x2 + 7 = 0 Reorder the terms: 7 + 12x2 + 35x4 = 0 Solving 7 + 12x2 + 35x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.2 + 0.3428571429x2 + x4 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 0.3428571429x2 + -0.2 + x4 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 0.3428571429x2 + x4 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.3428571429x2 + x4 = 0 + -0.2 0.3428571429x2 + x4 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 0.3428571429x2 + x4 = -0.2 The x term is 0.3428571429x2. Take half its coefficient (0.1714285715). Square it (0.02938775513) and add it to both sides. Add '0.02938775513' to each side of the equation. 0.3428571429x2 + 0.02938775513 + x4 = -0.2 + 0.02938775513 Reorder the terms: 0.02938775513 + 0.3428571429x2 + x4 = -0.2 + 0.02938775513 Combine like terms: -0.2 + 0.02938775513 = -0.17061224487 0.02938775513 + 0.3428571429x2 + x4 = -0.17061224487 Factor a perfect square on the left side: (x2 + 0.1714285715)(x2 + 0.1714285715) = -0.17061224487 Can't calculate square root of the right side. The solution to this equation could not be determined.
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