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Simplifying 9x4 + 6x2 + 2 = 0 Reorder the terms: 2 + 6x2 + 9x4 = 0 Solving 2 + 6x2 + 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'. 0.2222222222 + 0.6666666667x2 + x4 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + 0.6666666667x2 + -0.2222222222 + x4 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + 0.6666666667x2 + x4 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + 0.6666666667x2 + x4 = 0 + -0.2222222222 0.6666666667x2 + x4 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 0.6666666667x2 + x4 = -0.2222222222 The x term is 0.6666666667x2. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x2 + 0.1111111112 + x4 = -0.2222222222 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x2 + x4 = -0.2222222222 + 0.1111111112 Combine like terms: -0.2222222222 + 0.1111111112 = -0.111111111 0.1111111112 + 0.6666666667x2 + x4 = -0.111111111 Factor a perfect square on the left side: (x2 + 0.3333333334)(x2 + 0.3333333334) = -0.111111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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