Solve 24y^3-16y^227y-18

Question

Simplify the expression

- 408 y^{3} - 18

Show Solution

- 6 (68 y^{3} + 3)

Show Solution

y = - \frac{3 1734}{34}

Alternative Form

y \approx - 0.353349

Evaluate

24 y^{3} - 16 y^{2} \times 27 y - 18

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

24 y^{3} - 16 y^{2} \times 27 y - 18 = 0

Multiply

More Steps

24 y^{3} - 432 y^{3} - 18 = 0

Subtract the terms

More Steps

- 408 y^{3} - 18 = 0

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

- 408 y^{3} = 0 + 18

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

- 408 y^{3} = 18

Change the signs on both sides of the equation

408 y^{3} = - 18

Divide both sides

\frac{408 y ^{3}}{408} = \frac{- 18}{408}

Divide the numbers

y^{3} = \frac{- 18}{408}

Divide the numbers

More Steps

y^{3} = - \frac{3}{68}

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

3 y^{3} = 3 - \frac{3}{68}

Calculate

y = 3 - \frac{3}{68}

Solution

More Steps

y = - \frac{3 1734}{34}

Alternative Form

y \approx - 0.353349

Show Solution