Solve 15-23x 9x^2-x^3

Question

Simplify the expression

15 - 208 x^{3}

Show Solution

x = \frac{3 10140}{52}

Alternative Form

x \approx 0.416239

Evaluate

15 - 23 x \times 9 x^{2} - x^{3}

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

15 - 23 x \times 9 x^{2} - x^{3} = 0

Multiply

More Steps

15 - 207 x^{3} - x^{3} = 0

Subtract the terms

More Steps

15 - 208 x^{3} = 0

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

- 208 x^{3} = 0 - 15

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

- 208 x^{3} = - 15

Change the signs on both sides of the equation

208 x^{3} = 15

Divide both sides

\frac{208 x ^{3}}{208} = \frac{15}{208}

Divide the numbers

x^{3} = \frac{15}{208}

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

3 x^{3} = 3 \frac{15}{208}

Calculate

x = 3 \frac{15}{208}

Solution

More Steps

x = \frac{3 10140}{52}

Alternative Form

x \approx 0.416239

Show Solution