Solve -2x x^2-6 - ScanMath

Question

Simplify the expression

Solution

- 2 x^{3} - 6

Evaluate

- 2 x \times x^{2} - 6

Solution

More Steps

Evaluate

- 2 x \times x^{2}

Multiply the terms with the same base by adding their exponents

- 2 x^{1 + 2}

Add the numbers

- 2 x^{3}

- 2 x^{3} - 6

Show Solution

Factor the expression

Factor

- 2 (x^{3} + 3)

Evaluate

- 2 x \times x^{2} - 6

Multiply

More Steps

Evaluate

- 2 x \times x^{2}

Multiply the terms with the same base by adding their exponents

- 2 x^{1 + 2}

Add the numbers

- 2 x^{3}

- 2 x^{3} - 6

Solution

- 2 (x^{3} + 3)

Show Solution

Find the roots

Find the roots of the algebra expression

x = - 33

Alternative Form

x \approx - 1.44225

Evaluate

- 2 x \times x^{2} - 6

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

- 2 x \times x^{2} - 6 = 0

Multiply

More Steps

Multiply the terms

- 2 x \times x^{2}

Multiply the terms with the same base by adding their exponents

- 2 x^{1 + 2}

Add the numbers

- 2 x^{3}

- 2 x^{3} - 6 = 0

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

- 2 x^{3} = 0 + 6

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

- 2 x^{3} = 6

Change the signs on both sides of the equation

2 x^{3} = - 6

Divide both sides

\frac{2 x ^{3}}{2} = \frac{- 6}{2}

Divide the numbers

x^{3} = \frac{- 6}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 6}{2}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x^{3} = - 3

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

3 x^{3} = 3 - 3

Calculate

x = 3 - 3

Solution

x = - 33

Alternative Form

x \approx - 1.44225

Show Solution

2x x^2 6

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression