Solve -9w^2 30w-25

Question

Simplify the expression

- 270 w^{3} - 25

Show Solution

- 5 (54 w^{3} + 5)

Show Solution

w = - \frac{3 20}{6}

Alternative Form

w \approx - 0.452403

Evaluate

- 9 w^{2} \times 30 w - 25

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

- 9 w^{2} \times 30 w - 25 = 0

Multiply

More Steps

- 270 w^{3} - 25 = 0

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

- 270 w^{3} = 0 + 25

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

- 270 w^{3} = 25

Change the signs on both sides of the equation

270 w^{3} = - 25

Divide both sides

\frac{270 w ^{3}}{270} = \frac{- 25}{270}

Divide the numbers

w^{3} = \frac{- 25}{270}

Divide the numbers

More Steps

w^{3} = - \frac{5}{54}

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

3 w^{3} = 3 - \frac{5}{54}

Calculate

w = 3 - \frac{5}{54}

Solution

More Steps

w = - \frac{3 20}{6}

Alternative Form

w \approx - 0.452403

Show Solution