Solve 27x^3-27x^2 18x-4

Question

Simplify the expression

- 459 x^{3} - 4

Show Solution

x = - \frac{3 1156}{51}

Alternative Form

x \approx - 0.205786

Evaluate

27 x^{3} - 27 x^{2} \times 18 x - 4

To find the roots of the expression,set the expression equal to 0

27 x^{3} - 27 x^{2} \times 18 x - 4 = 0

Multiply

More Steps

27 x^{3} - 486 x^{3} - 4 = 0

Subtract the terms

More Steps

- 459 x^{3} - 4 = 0

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

- 459 x^{3} = 0 + 4

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

- 459 x^{3} = 4

Change the signs on both sides of the equation

459 x^{3} = - 4

Divide both sides

\frac{459 x ^{3}}{459} = \frac{- 4}{459}

Divide the numbers

x^{3} = \frac{- 4}{459}

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

x^{3} = - \frac{4}{459}

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

3 x^{3} = 3 - \frac{4}{459}

Calculate

x = 3 - \frac{4}{459}

Solution

More Steps

x = - \frac{3 1156}{51}

Alternative Form

x \approx - 0.205786

Show Solution