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Simplifying 9x4 + 20x2 + 12 = 0 Reorder the terms: 12 + 20x2 + 9x4 = 0 Solving 12 + 20x2 + 9x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.333333333 + 2.222222222x2 + x4 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 2.222222222x2 + -1.333333333 + x4 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 2.222222222x2 + x4 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 2.222222222x2 + x4 = 0 + -1.333333333 2.222222222x2 + x4 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 2.222222222x2 + x4 = -1.333333333 The x term is 2.222222222x2. Take half its coefficient (1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. 2.222222222x2 + 1.234567901 + x4 = -1.333333333 + 1.234567901 Reorder the terms: 1.234567901 + 2.222222222x2 + x4 = -1.333333333 + 1.234567901 Combine like terms: -1.333333333 + 1.234567901 = -0.098765432 1.234567901 + 2.222222222x2 + x4 = -0.098765432 Factor a perfect square on the left side: (x2 + 1.111111111)(x2 + 1.111111111) = -0.098765432 Can't calculate square root of the right side. The solution to this equation could not be determined.
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