Solve - 5/6 (5x^3)- 55/3 = 50/3

Evaluate

- \frac{5}{6} \times 5 x^{3} - \frac{55}{3} = \frac{50}{3}

Multiply the numbers

More Steps

- \frac{25}{6} x^{3} - \frac{55}{3} = \frac{50}{3}

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

- \frac{25}{6} x^{3} = \frac{50}{3} + \frac{55}{3}

Add the numbers

More Steps

- \frac{25}{6} x^{3} = 35

Change the signs on both sides of the equation

\frac{25}{6} x^{3} = - 35

Multiply by the reciprocal

\frac{25}{6} x^{3} \times \frac{6}{25} = - 35 \times \frac{6}{25}

Multiply

x^{3} = - 35 \times \frac{6}{25}

Multiply

More Steps

x^{3} = - \frac{42}{5}

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

3 x^{3} = 3 - \frac{42}{5}

Calculate

x = 3 - \frac{42}{5}

Solution

More Steps

x = - \frac{3 1050}{5}

Alternative Form

x \approx - 2.032793

Solve the equation