Solve 5n^(3)-10n^(2) 3n-6

Question

Simplify the expression

- 25 n^{3} - 6

Show Solution

n = - \frac{3 30}{5}

Alternative Form

n \approx - 0.621447

Evaluate

5 n^{3} - 10 n^{2} \times 3 n - 6

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

5 n^{3} - 10 n^{2} \times 3 n - 6 = 0

Multiply

More Steps

5 n^{3} - 30 n^{3} - 6 = 0

Subtract the terms

More Steps

- 25 n^{3} - 6 = 0

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

- 25 n^{3} = 0 + 6

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

- 25 n^{3} = 6

Change the signs on both sides of the equation

25 n^{3} = - 6

Divide both sides

\frac{25 n ^{3}}{25} = \frac{- 6}{25}

Divide the numbers

n^{3} = \frac{- 6}{25}

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

n^{3} = - \frac{6}{25}

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

3 n^{3} = 3 - \frac{6}{25}

Calculate

n = 3 - \frac{6}{25}

Solution

More Steps

n = - \frac{3 30}{5}

Alternative Form

n \approx - 0.621447

Show Solution