Solve 10x^3 - 12x^2 5x -6

Question

Simplify the expression

- 50 x^{3} - 6

Show Solution

- 2 (25 x^{3} + 3)

Show Solution

x = - \frac{3 15}{5}

Alternative Form

x \approx - 0.493242

Evaluate

10 x^{3} - 12 x^{2} \times 5 x - 6

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

10 x^{3} - 12 x^{2} \times 5 x - 6 = 0

Multiply

More Steps

10 x^{3} - 60 x^{3} - 6 = 0

Subtract the terms

More Steps

- 50 x^{3} - 6 = 0

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

- 50 x^{3} = 0 + 6

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

- 50 x^{3} = 6

Change the signs on both sides of the equation

50 x^{3} = - 6

Divide both sides

\frac{50 x ^{3}}{50} = \frac{- 6}{50}

Divide the numbers

x^{3} = \frac{- 6}{50}

Divide the numbers

More Steps

x^{3} = - \frac{3}{25}

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

3 x^{3} = 3 - \frac{3}{25}

Calculate

x = 3 - \frac{3}{25}

Solution

More Steps

x = - \frac{3 15}{5}

Alternative Form

x \approx - 0.493242

Show Solution