Solve -2x^2 - 4 / 2 (-2) 4

Question

Simplify the expression

- 2 x^{2} + 16

Evaluate

- 2 x^{2} - \frac{4}{2} (- 2) \times 4

Divide the terms

More Steps

Evaluate

\frac{4}{2}

Reduce the numbers

\frac{2}{1}

Calculate

2

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

Multiply

More Steps

Multiply the terms

2 (- 2) \times 4

Rewrite the expression

- 2 \times 2 \times 4

Multiply the terms

More Steps

Evaluate

2 \times 2 \times 4

Multiply the terms

4 \times 4

Multiply the numbers

16

- 16

- 2 x^{2} - (- 16)

Solution

- 2 x^{2} + 16

Show Solution

Factor the expression

- 2 (x^{2} - 8)

Evaluate

- 2 x^{2} - \frac{4}{2} (- 2) \times 4

Divide the terms

More Steps

Evaluate

\frac{4}{2}

Reduce the numbers

\frac{2}{1}

Calculate

2

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

Multiply

More Steps

Multiply the terms

2 (- 2) \times 4

Rewrite the expression

- 2 \times 2 \times 4

Multiply the terms

More Steps

Evaluate

2 \times 2 \times 4

Multiply the terms

4 \times 4

Multiply the numbers

16

- 16

- 2 x^{2} - (- 16)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 2 x^{2} + 16

Solution

- 2 (x^{2} - 8)

Show Solution

Find the roots

x_{1} = - 22, x_{2} = 22

Alternative Form

x_{1} \approx - 2.828427, x_{2} \approx 2.828427

Evaluate

- 2 x^{2} - \frac{4}{2} (- 2) \times 4

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

- 2 x^{2} - \frac{4}{2} (- 2) \times 4 = 0

Divide the terms

More Steps

Evaluate

\frac{4}{2}

Reduce the numbers

\frac{2}{1}

Calculate

2

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

Multiply

More Steps

Multiply the terms

2 (- 2) \times 4

Rewrite the expression

- 2 \times 2 \times 4

Multiply the terms

More Steps

Evaluate

2 \times 2 \times 4

Multiply the terms

4 \times 4

Multiply the numbers

16

- 16

- 2 x^{2} - (- 16) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 2 x^{2} + 16 = 0

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

- 2 x^{2} = 0 - 16

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

- 2 x^{2} = - 16

Change the signs on both sides of the equation

2 x^{2} = 16

Divide both sides

\frac{2 x ^{2}}{2} = \frac{16}{2}

Divide the numbers

x^{2} = \frac{16}{2}

Divide the numbers

More Steps

Evaluate

\frac{16}{2}

Reduce the numbers

\frac{8}{1}

Calculate

8

x^{2} = 8

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 8

Simplify the expression

More Steps

Evaluate

8

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

The root of a product is equal to the product of the roots of each factor

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

x = \pm 22

Separate the equation into 2 possible cases

x = 22 x = - 22

Solution

x_{1} = - 22, x_{2} = 22

Alternative Form

x_{1} \approx - 2.828427, x_{2} \approx 2.828427

Show Solution