Solve (10x^211x)2-5(10x^211x)-24

Question

Simplify the expression

- 330 x^{3} - 24

Show Solution

- 6 (55 x^{3} + 4)

Show Solution

x = - \frac{3 12100}{55}

Alternative Form

x \approx - 0.417413

Evaluate

(10 x^{2} \times 11 x) \times 2 - 5 (10 x^{2} \times 11 x) - 24

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

(10 x^{2} \times 11 x) \times 2 - 5 (10 x^{2} \times 11 x) - 24 = 0

Multiply

More Steps

110 x^{3} \times 2 - 5 (10 x^{2} \times 11 x) - 24 = 0

Multiply

More Steps

110 x^{3} \times 2 - 5 \times 110 x^{3} - 24 = 0

Multiply the numbers

220 x^{3} - 5 \times 110 x^{3} - 24 = 0

Multiply the numbers

220 x^{3} - 550 x^{3} - 24 = 0

Subtract the terms

More Steps

- 330 x^{3} - 24 = 0

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

- 330 x^{3} = 0 + 24

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

- 330 x^{3} = 24

Change the signs on both sides of the equation

330 x^{3} = - 24

Divide both sides

\frac{330 x ^{3}}{330} = \frac{- 24}{330}

Divide the numbers

x^{3} = \frac{- 24}{330}

Divide the numbers

More Steps

x^{3} = - \frac{4}{55}

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

3 x^{3} = 3 - \frac{4}{55}

Calculate

x = 3 - \frac{4}{55}

Solution

More Steps

x = - \frac{3 12100}{55}

Alternative Form

x \approx - 0.417413

Show Solution