Solve x^3 - 23x^2 142x - 120

Question

Simplify the expression

- 3265 x^{3} - 120

Show Solution

- 5 (653 x^{3} + 24)

Show Solution

x = - \frac{2 3 3 \times 65 3 ^{2}}{653}

Alternative Form

x \approx - 0.33248

Evaluate

x^{3} - 23 x^{2} \times 142 x - 120

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

x^{3} - 23 x^{2} \times 142 x - 120 = 0

Multiply

More Steps

x^{3} - 3266 x^{3} - 120 = 0

Subtract the terms

More Steps

- 3265 x^{3} - 120 = 0

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

- 3265 x^{3} = 0 + 120

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

- 3265 x^{3} = 120

Change the signs on both sides of the equation

3265 x^{3} = - 120

Divide both sides

\frac{3265 x ^{3}}{3265} = \frac{- 120}{3265}

Divide the numbers

x^{3} = \frac{- 120}{3265}

Divide the numbers

More Steps

x^{3} = - \frac{24}{653}

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

3 x^{3} = 3 - \frac{24}{653}

Calculate

x = 3 - \frac{24}{653}

Solution

More Steps

x = - \frac{2 3 3 \times 65 3 ^{2}}{653}

Alternative Form

x \approx - 0.33248

Show Solution