Solve 3x^3 - 15x^25x - 25

Question

Simplify the expression

- 72 x^{3} - 25

Show Solution

x = - \frac{3 75}{6}

Alternative Form

x \approx - 0.702861

Evaluate

3 x^{3} - 15 x^{2} \times 5 x - 25

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

3 x^{3} - 15 x^{2} \times 5 x - 25 = 0

Multiply

More Steps

3 x^{3} - 75 x^{3} - 25 = 0

Subtract the terms

More Steps

- 72 x^{3} - 25 = 0

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

- 72 x^{3} = 0 + 25

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

- 72 x^{3} = 25

Change the signs on both sides of the equation

72 x^{3} = - 25

Divide both sides

\frac{72 x ^{3}}{72} = \frac{- 25}{72}

Divide the numbers

x^{3} = \frac{- 25}{72}

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

x^{3} = - \frac{25}{72}

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

3 x^{3} = 3 - \frac{25}{72}

Calculate

x = 3 - \frac{25}{72}

Solution

More Steps

x = - \frac{3 75}{6}

Alternative Form

x \approx - 0.702861

Show Solution