Solve (-2-x)(-6-x) 8

Question

Simplify the expression

96 + 64 x + 8 x^{2}

Evaluate

(- 2 - x) (- 6 - x) \times 8

Use the commutative property to reorder the terms

8 (- 2 - x) (- 6 - x)

Multiply the terms

More Steps

Evaluate

8 (- 2 - x)

Apply the distributive property

8 (- 2) - 8 x

Multiply the numbers

More Steps

Evaluate

8 (- 2)

Multiplying or dividing an odd number of negative terms equals a negative

- 8 \times 2

Multiply the numbers

- 16

- 16 - 8 x

(- 16 - 8 x) (- 6 - x)

Apply the distributive property

- 16 (- 6) - (- 16 x) - 8 x (- 6) - (- 8 x \times x)

Multiply the numbers

More Steps

Evaluate

- 16 (- 6)

Multiplying or dividing an even number of negative terms equals a positive

16 \times 6

Multiply the numbers

96

96 - (- 16 x) - 8 x (- 6) - (- 8 x \times x)

Multiply the numbers

More Steps

Evaluate

- 8 (- 6)

Multiplying or dividing an even number of negative terms equals a positive

8 \times 6

Multiply the numbers

48

96 - (- 16 x) + 48 x - (- 8 x \times x)

Multiply the terms

96 - (- 16 x) + 48 x - (- 8 x^{2})

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

96 + 16 x + 48 x + 8 x^{2}

Solution

More Steps

Evaluate

16 x + 48 x

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

(16 + 48) x

Add the numbers

64 x

96 + 64 x + 8 x^{2}

Show Solution

Find the roots

x_{1} = - 6, x_{2} = - 2

Evaluate

(- 2 - x) (- 6 - x) \times 8

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

(- 2 - x) (- 6 - x) \times 8 = 0

Use the commutative property to reorder the terms

8 (- 2 - x) (- 6 - x) = 0

Elimination the left coefficient

(- 2 - x) (- 6 - x) = 0

Separate the equation into 2 possible cases

- 2 - x = 0 - 6 - x = 0

Solve the equation

More Steps

Evaluate

- 2 - x = 0

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

- x = 0 + 2

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

- x = 2

Change the signs on both sides of the equation

x = - 2

x = - 2 - 6 - x = 0

Solve the equation

More Steps

Evaluate

- 6 - x = 0

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

- x = 0 + 6

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

- x = 6

Change the signs on both sides of the equation

x = - 6

x = - 2 x = - 6

Solution

x_{1} = - 6, x_{2} = - 2

Show Solution