Solve x^2x-1/5=33-x/4

Evaluate

x^{2} \times x - \frac{1}{5} = 33 - \frac{x}{4}

Multiply the terms

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x^{3} - \frac{1}{5} = 33 - \frac{x}{4}

Multiply both sides of the equation by LCD

(x^{3} - \frac{1}{5}) \times 20 = (33 - \frac{x}{4}) \times 20

Simplify the equation

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20 x^{3} - 4 = (33 - \frac{x}{4}) \times 20

Simplify the equation

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20 x^{3} - 4 = 660 - 5 x

Move the expression to the left side

20 x^{3} - 4 - (660 - 5 x) = 0

Subtract the terms

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20 x^{3} - 664 + 5 x = 0

Solution

x \approx 3.188073

Solve the equation