Solve (4r-5)*-4-3

Question

Simplify the expression

- 16 r + 17

Evaluate

(4 r - 5) (- 4) - 3

Multiply the terms

- 4 (4 r - 5) - 3

Expand the expression

More Steps

Calculate

- 4 (4 r - 5)

Apply the distributive property

- 4 \times 4 r - (- 4 \times 5)

Multiply the numbers

- 16 r - (- 4 \times 5)

Multiply the numbers

- 16 r - (- 20)

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

- 16 r + 20

- 16 r + 20 - 3

Solution

- 16 r + 17

Show Solution

Find the roots

r = \frac{17}{16}

Alternative Form

r = 1.0625

Evaluate

(4 r - 5) (- 4) - 3

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

(4 r - 5) (- 4) - 3 = 0

Multiply the terms

- 4 (4 r - 5) - 3 = 0

Calculate

More Steps

Evaluate

- 4 (4 r - 5) - 3

Expand the expression

More Steps

Calculate

- 4 (4 r - 5)

Apply the distributive property

- 4 \times 4 r - (- 4 \times 5)

Multiply the numbers

- 16 r - (- 4 \times 5)

Multiply the numbers

- 16 r - (- 20)

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

- 16 r + 20

- 16 r + 20 - 3

Subtract the numbers

- 16 r + 17

- 16 r + 17 = 0

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

- 16 r = 0 - 17

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

- 16 r = - 17

Change the signs on both sides of the equation

16 r = 17

Divide both sides

\frac{16 r}{16} = \frac{17}{16}

Solution

r = \frac{17}{16}

Alternative Form

r = 1.0625

Show Solution