Question

solve $6t^2 + 14 = -25t$ by factoring. select the solution(s).

Explanation:

Step1: Rearrange to standard form

$6t^2 + 25t + 14 = 0$

Step2: Factor the quadratic

$(3t + 7)(2t + 2) = 0$

Step3: Set factors to zero

$3t + 7 = 0$ or $2t + 2 = 0$

Step4: Solve for t

$t = -\frac{7}{3}$, $t = -\frac{2}{2}=-1$

Answer:

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