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Simplifying 33x4 + -32x2 + 8 = 0 Reorder the terms: 8 + -32x2 + 33x4 = 0 Solving 8 + -32x2 + 33x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 33 the coefficient of the squared term: Divide each side by '33'. 0.2424242424 + -0.9696969697x2 + x4 = 0 Move the constant term to the right: Add '-0.2424242424' to each side of the equation. 0.2424242424 + -0.9696969697x2 + -0.2424242424 + x4 = 0 + -0.2424242424 Reorder the terms: 0.2424242424 + -0.2424242424 + -0.9696969697x2 + x4 = 0 + -0.2424242424 Combine like terms: 0.2424242424 + -0.2424242424 = 0.0000000000 0.0000000000 + -0.9696969697x2 + x4 = 0 + -0.2424242424 -0.9696969697x2 + x4 = 0 + -0.2424242424 Combine like terms: 0 + -0.2424242424 = -0.2424242424 -0.9696969697x2 + x4 = -0.2424242424 The x term is -0.9696969697x2. Take half its coefficient (-0.4848484849). Square it (0.2350780533) and add it to both sides. Add '0.2350780533' to each side of the equation. -0.9696969697x2 + 0.2350780533 + x4 = -0.2424242424 + 0.2350780533 Reorder the terms: 0.2350780533 + -0.9696969697x2 + x4 = -0.2424242424 + 0.2350780533 Combine like terms: -0.2424242424 + 0.2350780533 = -0.0073461891 0.2350780533 + -0.9696969697x2 + x4 = -0.0073461891 Factor a perfect square on the left side: (x2 + -0.4848484849)(x2 + -0.4848484849) = -0.0073461891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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