Question

solve by factoring
$2c^{2}-5c=3$

select the correct choice and fill in any answer boxes in your choice below
a. $c=\square$
(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 form

$2c^2 - 5c - 3 = 0$

Step2: Factor the quadratic

$(2c + 1)(c - 3) = 0$

Step3: Set factors to zero

$2c + 1 = 0 \text{ or } c - 3 = 0$

Step4: Solve for c

$c = -\frac{1}{2}, c = 3$

Answer:

A. $c = 3, -\frac{1}{2}$