Solve (4v-3)*-4-9v

Question

Simplify the expression

- 25 v + 12

Evaluate

(4 v - 3) (- 4) - 9 v

Multiply the terms

- 4 (4 v - 3) - 9 v

Expand the expression

More Steps

Calculate

- 4 (4 v - 3)

Apply the distributive property

- 4 \times 4 v - (- 4 \times 3)

Multiply the numbers

- 16 v - (- 4 \times 3)

Multiply the numbers

- 16 v - (- 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

- 16 v + 12

- 16 v + 12 - 9 v

Solution

More Steps

Evaluate

- 16 v - 9 v

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

(- 16 - 9) v

Subtract the numbers

- 25 v

- 25 v + 12

Show Solution

Find the roots

v = \frac{12}{25}

Alternative Form

v = 0.48

Evaluate

(4 v - 3) (- 4) - 9 v

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

(4 v - 3) (- 4) - 9 v = 0

Multiply the terms

- 4 (4 v - 3) - 9 v = 0

Calculate

More Steps

Evaluate

- 4 (4 v - 3) - 9 v

Expand the expression

More Steps

Calculate

- 4 (4 v - 3)

Apply the distributive property

- 4 \times 4 v - (- 4 \times 3)

Multiply the numbers

- 16 v - (- 4 \times 3)

Multiply the numbers

- 16 v - (- 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

- 16 v + 12

- 16 v + 12 - 9 v

Subtract the terms

More Steps

Evaluate

- 16 v - 9 v

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

(- 16 - 9) v

Subtract the numbers

- 25 v

- 25 v + 12

- 25 v + 12 = 0

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

- 25 v = 0 - 12

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

- 25 v = - 12

Change the signs on both sides of the equation

25 v = 12

Divide both sides

\frac{25 v}{25} = \frac{12}{25}

Solution

v = \frac{12}{25}

Alternative Form

v = 0.48

Show Solution