Question

solve for m.
$m^2 + 15m + 14 = 0$
write each solution as an integer, proper fraction, or improper fraction in simplest form.
if there are multiple solutions, separate them with commas.
$m = $

Explanation:

Step1: Factor the quadratic expression

We find two numbers that multiply to $14$ and add to $15$, which are $1$ and $14$. So:
$m^2 +15m +14=(m+1)(m+14)=0$

Step2: Set each factor to zero

Solve for $m$ in each equation:
$m+1=0$ or $m+14=0$

Step3: Solve for m in each case

For $m+1=0$, subtract 1 from both sides: $m=-1$
For $m+14=0$, subtract 14 from both sides: $m=-14$

Answer:

$m=-14, -1$