Question

solve by factoring.$w^2 + 2w - 35 = 0$$w=\square$ (use a comma to separate answers as needed.)help me solve this view an example get more helpreview progress

Explanation:

Step1: Factor the quadratic

Find two numbers that multiply to $-35$ and add to $2$: $7$ and $-5$.
$\boldsymbol{w^2 + 2w - 35 = (w + 7)(w - 5) = 0}$

Step2: Apply zero product property

Set each factor equal to 0.
$\boldsymbol{w + 7 = 0 \text{ or } w - 5 = 0}$

Step3: Solve for $w$

Isolate $w$ in each equation.
$\boldsymbol{w = -7 \text{ or } w = 5}$

Answer:

$w = 5, -7$