Question

solve by factoring.
$3s^2 - 19s = 14$

the solution is $s = \square$
(simplify your answer. type an integer or a fraction. use a comma to separate answers as needed )
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Explanation:

Step1: Rewrite to standard form

$3s^2 - 19s - 14 = 0$

Step2: Factor the quadratic

$(3s + 2)(s - 7) = 0$

Step3: Set factors to zero

$3s + 2 = 0 \quad \text{or} \quad s - 7 = 0$

Step4: Solve for s

$s = -\frac{2}{3}, \quad s = 7$

Answer:

$-\frac{2}{3}, 7$