Solve -12w^2 20w-3

Question

Simplify the expression

- 240 w^{3} - 3

Show Solution

- 3 (80 w^{3} + 1)

Show Solution

w = - \frac{3 100}{20}

Alternative Form

w \approx - 0.232079

Evaluate

- 12 w^{2} \times 20 w - 3

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

- 12 w^{2} \times 20 w - 3 = 0

Multiply

More Steps

- 240 w^{3} - 3 = 0

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

- 240 w^{3} = 0 + 3

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

- 240 w^{3} = 3

Change the signs on both sides of the equation

240 w^{3} = - 3

Divide both sides

\frac{240 w ^{3}}{240} = \frac{- 3}{240}

Divide the numbers

w^{3} = \frac{- 3}{240}

Divide the numbers

More Steps

w^{3} = - \frac{1}{80}

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

3 w^{3} = 3 - \frac{1}{80}

Calculate

w = 3 - \frac{1}{80}

Solution

More Steps

w = - \frac{3 100}{20}

Alternative Form

w \approx - 0.232079

Show Solution