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

Question

Simplify the expression

- 22 x^{3} - 12

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- 2 (11 x^{3} + 6)

Show Solution

x = - \frac{3 726}{11}

Alternative Form

x \approx - 0.817058

Evaluate

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

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

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

Multiply

More Steps

2 x^{3} - 24 x^{3} - 12 = 0

Subtract the terms

More Steps

- 22 x^{3} - 12 = 0

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

- 22 x^{3} = 0 + 12

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

- 22 x^{3} = 12

Change the signs on both sides of the equation

22 x^{3} = - 12

Divide both sides

\frac{22 x ^{3}}{22} = \frac{- 12}{22}

Divide the numbers

x^{3} = \frac{- 12}{22}

Divide the numbers

More Steps

x^{3} = - \frac{6}{11}

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

3 x^{3} = 3 - \frac{6}{11}

Calculate

x = 3 - \frac{6}{11}

Solution

More Steps

x = - \frac{3 726}{11}

Alternative Form

x \approx - 0.817058

Show Solution