Solve 2x-1/2-x = x^3/3x-6

Evaluate

2 x - \frac{1}{2} - x = \frac{x ^{3}}{3} x - 6

Subtract the terms

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x - \frac{1}{2} = \frac{x ^{3}}{3} x - 6

Multiply the terms

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x - \frac{1}{2} = \frac{x ^{4}}{3} - 6

Multiply both sides of the equation by LCD

(x - \frac{1}{2}) \times 6 = (\frac{x ^{4}}{3} - 6) \times 6

Simplify the equation

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6 x - 3 = (\frac{x ^{4}}{3} - 6) \times 6

Simplify the equation

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6 x - 3 = 2 x^{4} - 36

Move the expression to the left side

6 x - 3 - (2 x^{4} - 36) = 0

Subtract the terms

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6 x + 33 - 2 x^{4} = 0

Calculate

x \approx - 1.822504 x \approx - 0.184611 - 2.024024 i x \approx - 0.184611 + 2.024024 i x \approx 2.191726

Solution

x_{1} \approx - 0.184611 + 2.024024 i, x_{2} \approx - 0.184611 - 2.024024 i, x_{3} \approx - 1.822504, x_{4} \approx 2.191726

Solve the equation(The real numbers system)