Solve -3x^29x-1=0

Evaluate

- 3 x^{2} \times 9 x - 1 = 0

Multiply

More Steps

- 27 x^{3} - 1 = 0

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

- 27 x^{3} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

- 27 x^{3} = 1

Change the signs on both sides of the equation

27 x^{3} = - 1

Divide both sides

\frac{27 x ^{3}}{27} = \frac{- 1}{27}

Divide the numbers

x^{3} = \frac{- 1}{27}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{3} = - \frac{1}{27}

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

3 x^{3} = 3 - \frac{1}{27}

Calculate

x = 3 - \frac{1}{27}

Solution

More Steps

x = - \frac{1}{3}

Alternative Form

x = - 0. \dot{3}

Solve the equation