Solve (x^2^3 - (x-2)^2-6x-12)

Question

Simplify the expression

- 2 x - 16

Evaluate

x^{2} - (x - 2)^{2} - 6 x - 12

Expand the expression

x^{2} - (x^{2} - 4 x + 4) - 6 x - 12

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

x^{2} - x^{2} + 4 x - 4 - 6 x - 12

The sum of two opposites equals 0

More Steps

Evaluate

x^{2} - x^{2}

Collect like terms

(1 - 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 + 4 x - 4 - 6 x - 12

Remove 0

4 x - 4 - 6 x - 12

Subtract the terms

More Steps

Evaluate

4 x - 6 x

Collect like terms by calculating the sum or difference of their coefficients

(4 - 6) x

Subtract the numbers

- 2 x

- 2 x - 4 - 12

Solution

- 2 x - 16

Show Solution

Factor the expression

- 2 (x + 8)

Evaluate

x^{2} - (x - 2)^{2} - 6 x - 12

Calculate

x^{2} - 6 x - 12 - (x - 2)^{2}

Simplify

More Steps

Evaluate

- (x - 2)^{2}

Expand the expression

More Steps

Evaluate

(x - 2)^{2}

Use (a - b)^{2} = a^{2} - 2 ab + b^{2} to expand the expression

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

Calculate

x^{2} - 4 x + 4

- (x^{2} - 4 x + 4)

Expand the expression

- x^{2} + 4 x - 4

x^{2} - 6 x - 12 - x^{2} + 4 x - 4

The sum of two opposites equals 0

More Steps

Evaluate

x^{2} - x^{2}

Collect like terms

(1 - 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 - 6 x - 12 + 4 x - 4

Remove 0

- 6 x - 12 + 4 x - 4

Add the terms

More Steps

Evaluate

- 6 x + 4 x

Collect like terms by calculating the sum or difference of their coefficients

(- 6 + 4) x

Add the numbers

- 2 x

- 2 x - 12 - 4

Subtract the numbers

- 2 x - 16

Solution

- 2 (x + 8)

Show Solution

Find the roots

x = - 8

Evaluate

(x^{2} - (x - 2)^{2} - 6 x - 12)

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

x^{2} - (x - 2)^{2} - 6 x - 12 = 0

Subtract the terms

More Steps

Simplify

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

Expand the expression

x^{2} - x^{2} + 4 x - 4

The sum of two opposites equals 0

More Steps

Evaluate

x^{2} - x^{2}

Collect like terms

(1 - 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 + 4 x - 4

Remove 0

4 x - 4

4 x - 4 - 6 x - 12 = 0

Subtract the terms

More Steps

Simplify

4 x - 4 - 6 x

Subtract the terms

More Steps

Evaluate

4 x - 6 x

Collect like terms by calculating the sum or difference of their coefficients

(4 - 6) x

Subtract the numbers

- 2 x

- 2 x - 4

- 2 x - 4 - 12 = 0

Subtract the numbers

- 2 x - 16 = 0

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

- 2 x = 0 + 16

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

- 2 x = 16

Change the signs on both sides of the equation

2 x = - 16

Divide both sides

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

Divide the numbers

x = \frac{- 16}{2}

Solution

More Steps

Evaluate

\frac{- 16}{2}

Reduce the numbers

\frac{- 8}{1}

Calculate

- 8

x = - 8

Show Solution