Solve -8(-3p-1)-8p

Question

Simplify the expression

16 p + 8

Evaluate

- 8 (- 3 p - 1) - 8 p

Expand the expression

More Steps

Calculate

- 8 (- 3 p - 1)

Apply the distributive property

- 8 (- 3 p) - (- 8 \times 1)

Multiply the numbers

More Steps

Evaluate

- 8 (- 3)

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

8 \times 3

Multiply the numbers

24

24 p - (- 8 \times 1)

Any expression multiplied by 1 remains the same

24 p - (- 8)

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

24 p + 8

24 p + 8 - 8 p

Solution

More Steps

Evaluate

24 p - 8 p

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

(24 - 8) p

Subtract the numbers

16 p

16 p + 8

Show Solution

Factor the expression

8 (2 p + 1)

Evaluate

- 8 (- 3 p - 1) - 8 p

Simplify

More Steps

Evaluate

- 8 (- 3 p - 1)

Apply the distributive property

- 8 (- 3 p) - 8 (- 1)

Multiply the terms

More Steps

Evaluate

- 8 (- 3)

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

8 \times 3

Multiply the numbers

24

24 p - 8 (- 1)

Multiply the terms

24 p + 8

24 p + 8 - 8 p

Subtract the terms

More Steps

Evaluate

24 p - 8 p

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

(24 - 8) p

Subtract the numbers

16 p

16 p + 8

Solution

8 (2 p + 1)

Show Solution

Find the roots

p = - \frac{1}{2}

Alternative Form

p = - 0.5

Evaluate

- 8 (- 3 p - 1) - 8 p

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

- 8 (- 3 p - 1) - 8 p = 0

Calculate

More Steps

Evaluate

- 8 (- 3 p - 1) - 8 p

Expand the expression

More Steps

Calculate

- 8 (- 3 p - 1)

Apply the distributive property

- 8 (- 3 p) - (- 8 \times 1)

Multiply the numbers

24 p - (- 8 \times 1)

Any expression multiplied by 1 remains the same

24 p - (- 8)

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

24 p + 8

24 p + 8 - 8 p

Subtract the terms

More Steps

Evaluate

24 p - 8 p

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

(24 - 8) p

Subtract the numbers

16 p

16 p + 8

16 p + 8 = 0

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

16 p = 0 - 8

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

16 p = - 8

Divide both sides

\frac{16 p}{16} = \frac{- 8}{16}

Divide the numbers

p = \frac{- 8}{16}

Solution

More Steps

Evaluate

\frac{- 8}{16}

Cancel out the common factor 8

\frac{- 1}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{2}

p = - \frac{1}{2}

Alternative Form

p = - 0.5

Show Solution