Solve x^3-8x^2 19x-12

Question

Simplify the expression

- 151 x^{3} - 12

Show Solution

x = - \frac{3 273612}{151}

Alternative Form

x \approx - 0.429934

Evaluate

x^{3} - 8 x^{2} \times 19 x - 12

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

x^{3} - 8 x^{2} \times 19 x - 12 = 0

Multiply

More Steps

x^{3} - 152 x^{3} - 12 = 0

Subtract the terms

More Steps

- 151 x^{3} - 12 = 0

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

- 151 x^{3} = 0 + 12

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

- 151 x^{3} = 12

Change the signs on both sides of the equation

151 x^{3} = - 12

Divide both sides

\frac{151 x ^{3}}{151} = \frac{- 12}{151}

Divide the numbers

x^{3} = \frac{- 12}{151}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{3} = - \frac{12}{151}

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

3 x^{3} = 3 - \frac{12}{151}

Calculate

x = 3 - \frac{12}{151}

Solution

More Steps

x = - \frac{3 273612}{151}

Alternative Form

x \approx - 0.429934

Show Solution