Solve 8x^3-36x^2 54x-27

Question

Simplify the expression

- 1936 x^{3} - 27

Show Solution

x = - \frac{3 3 44}{44}

Alternative Form

x \approx - 0.240706

Evaluate

8 x^{3} - 36 x^{2} \times 54 x - 27

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

8 x^{3} - 36 x^{2} \times 54 x - 27 = 0

Multiply

More Steps

8 x^{3} - 1944 x^{3} - 27 = 0

Subtract the terms

More Steps

- 1936 x^{3} - 27 = 0

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

- 1936 x^{3} = 0 + 27

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

- 1936 x^{3} = 27

Change the signs on both sides of the equation

1936 x^{3} = - 27

Divide both sides

\frac{1936 x ^{3}}{1936} = \frac{- 27}{1936}

Divide the numbers

x^{3} = \frac{- 27}{1936}

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

x^{3} = - \frac{27}{1936}

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

3 x^{3} = 3 - \frac{27}{1936}

Calculate

x = 3 - \frac{27}{1936}

Solution

More Steps

x = - \frac{3 3 44}{44}

Alternative Form

x \approx - 0.240706

Show Solution