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

Question

Solve the equation

x = - \frac{3 3 275}{5}

Alternative Form

x \approx - 3.901774

Evaluate

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

Multiply the terms

More Steps

\frac{x ^{3}}{33} - \frac{1}{5} = - 2

Move the constant to the right-hand side and change its sign

\frac{x ^{3}}{33} = - 2 + \frac{1}{5}

Add the numbers

More Steps

\frac{x ^{3}}{33} = - \frac{9}{5}

Rewrite the expression

\frac{x ^{3}}{33} = \frac{- 9}{5}

Multiply both sides of the equation by 33

\frac{x ^{3}}{33} \times 33 = \frac{- 9}{5} \times 33

Multiply the terms

x^{3} = \frac{- 9 \times 33}{5}

Divide the terms

x^{3} = - \frac{297}{5}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - \frac{297}{5}

Calculate

x = 3 - \frac{297}{5}

Solution

More Steps

x = - \frac{3 3 275}{5}

Alternative Form

x \approx - 3.901774

Show Solution