Solve (6x^3-2x^24x-3)/(x 1)

Question

Simplify the expression

- \frac{2 x ^{3} + 3}{x}

Show Solution

x = 0

Show Solution

x = - \frac{3 12}{2}

Alternative Form

x \approx - 1.144714

Evaluate

\frac{6 x ^{3} - 2 x ^{2} \times 4 x - 3}{x \times 1}

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

\frac{6 x ^{3} - 2 x ^{2} \times 4 x - 3}{x \times 1} = 0

Any expression multiplied by 1 remains the same

\frac{6 x ^{3} - 2 x ^{2} \times 4 x - 3}{x \times 1} = 0, x \neq = 0

Calculate

\frac{6 x ^{3} - 2 x ^{2} \times 4 x - 3}{x \times 1} = 0

Multiply

More Steps

\frac{6 x ^{3} - 8 x ^{3} - 3}{x \times 1} = 0

Subtract the terms

More Steps

\frac{- 2 x ^{3} - 3}{x \times 1} = 0

Any expression multiplied by 1 remains the same

\frac{- 2 x ^{3} - 3}{x} = 0

Cross multiply

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

Simplify the equation

- 2 x^{3} - 3 = 0

Move the constant to the right side

- 2 x^{3} = 3

Change the signs on both sides of the equation

2 x^{3} = - 3

Divide both sides

\frac{2 x ^{3}}{2} = \frac{- 3}{2}

Divide the numbers

x^{3} = \frac{- 3}{2}

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

x^{3} = - \frac{3}{2}

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

3 x^{3} = 3 - \frac{3}{2}

Calculate

x = 3 - \frac{3}{2}

Simplify the root

More Steps

x = - \frac{3 12}{2}

Check if the solution is in the defined range

x = - \frac{3 12}{2}, x \neq = 0

Solution

x = - \frac{3 12}{2}

Alternative Form

x \approx - 1.144714

Show Solution