Solve -x^2 2x-4 - ScanMath

Question

Simplify the expression

- 2 x^{3} - 4

Evaluate

- x^{2} \times 2 x - 4

Solution

More Steps

Evaluate

- x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

- x^{2 + 1} \times 2

Add the numbers

- x^{3} \times 2

Use the commutative property to reorder the terms

- 2 x^{3}

- 2 x^{3} - 4

Show Solution

- 2 (x^{3} + 2)

Evaluate

- x^{2} \times 2 x - 4

Multiply

More Steps

Evaluate

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

- 2 x^{3} - 4

Solution

- 2 (x^{3} + 2)

Show Solution

x = - 32

Alternative Form

x \approx - 1.259921

Evaluate

- x^{2} \times 2 x - 4

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

- x^{2} \times 2 x - 4 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

- 2 x^{3} - 4 = 0

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

- 2 x^{3} = 0 + 4

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

- 2 x^{3} = 4

Change the signs on both sides of the equation

2 x^{3} = - 4

Divide both sides

\frac{2 x ^{3}}{2} = \frac{- 4}{2}

Divide the numbers

x^{3} = \frac{- 4}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 4}{2}

Reduce the numbers

\frac{- 2}{1}

Calculate

- 2

x^{3} = - 2

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

3 x^{3} = 3 - 2

Calculate

x = 3 - 2

Solution

x = - 32

Alternative Form

x \approx - 1.259921

Show Solution