Solve 3u^3-6u^2 8u-16

Question

Simplify the expression

- 45 u^{3} - 16

Show Solution

u = - \frac{2 3 150}{15}

Alternative Form

u \approx - 0.708439

Evaluate

3 u^{3} - 6 u^{2} \times 8 u - 16

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

3 u^{3} - 6 u^{2} \times 8 u - 16 = 0

Multiply

More Steps

3 u^{3} - 48 u^{3} - 16 = 0

Subtract the terms

More Steps

- 45 u^{3} - 16 = 0

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

- 45 u^{3} = 0 + 16

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

- 45 u^{3} = 16

Change the signs on both sides of the equation

45 u^{3} = - 16

Divide both sides

\frac{45 u ^{3}}{45} = \frac{- 16}{45}

Divide the numbers

u^{3} = \frac{- 16}{45}

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

u^{3} = - \frac{16}{45}

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

3 u^{3} = 3 - \frac{16}{45}

Calculate

u = 3 - \frac{16}{45}

Solution

More Steps

u = - \frac{2 3 150}{15}

Alternative Form

u \approx - 0.708439

Show Solution