Question

solve by factoring.

$4v^2 - 9v = 9$

select the correct choice and fill in any answer boxes in your choice below.

a. $v = \square$
(simplify your answer. type an integer or a fraction. use a comma to separate answers as needed.)

b. the solution is not a real number.

Explanation:

Step1: Rearrange to standard quadratic form

$4v^2 - 9v - 9 = 0$

Step2: Factor the quadratic expression

$(4v + 3)(v - 3) = 0$

Step3: Set each factor to zero

$4v + 3 = 0 \text{ or } v - 3 = 0$

Step4: Solve for $v$

$v = -\frac{3}{4}, \, v = 3$

Answer:

A. $v = -\frac{3}{4}, 3$