Solve 10p-4(8p-2)

Question

Simplify the expression

- 22 p + 8

Evaluate

10 p - 4 (8 p - 2)

Expand the expression

More Steps

Calculate

- 4 (8 p - 2)

Apply the distributive property

- 4 \times 8 p - (- 4 \times 2)

Multiply the numbers

- 32 p - (- 4 \times 2)

Multiply the numbers

- 32 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

- 32 p + 8

10 p - 32 p + 8

Solution

More Steps

Evaluate

10 p - 32 p

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

(10 - 32) p

Subtract the numbers

- 22 p

- 22 p + 8

Show Solution

Factor the expression

- 2 (11 p - 4)

Evaluate

10 p - 4 (8 p - 2)

Simplify

More Steps

Evaluate

- 4 (8 p - 2)

Apply the distributive property

- 4 \times 8 p - 4 (- 2)

Multiply the terms

- 32 p - 4 (- 2)

Multiply the terms

More Steps

Evaluate

- 4 (- 2)

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

4 \times 2

Multiply the numbers

8

- 32 p + 8

10 p - 32 p + 8

Subtract the terms

More Steps

Evaluate

10 p - 32 p

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

(10 - 32) p

Subtract the numbers

- 22 p

- 22 p + 8

Solution

- 2 (11 p - 4)

Show Solution

Find the roots

p = \frac{4}{11}

Alternative Form

p = 0. \dot{3} \dot{6}

Evaluate

10 p - 4 (8 p - 2)

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

10 p - 4 (8 p - 2) = 0

Calculate

More Steps

Evaluate

10 p - 4 (8 p - 2)

Expand the expression

More Steps

Calculate

- 4 (8 p - 2)

Apply the distributive property

- 4 \times 8 p - (- 4 \times 2)

Multiply the numbers

- 32 p - (- 4 \times 2)

Multiply the numbers

- 32 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

- 32 p + 8

10 p - 32 p + 8

Subtract the terms

More Steps

Evaluate

10 p - 32 p

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

(10 - 32) p

Subtract the numbers

- 22 p

- 22 p + 8

- 22 p + 8 = 0

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

- 22 p = 0 - 8

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

- 22 p = - 8

Change the signs on both sides of the equation

22 p = 8

Divide both sides

\frac{22 p}{22} = \frac{8}{22}

Divide the numbers

p = \frac{8}{22}

Solution

p = \frac{4}{11}

Alternative Form

p = 0. \dot{3} \dot{6}

Show Solution