Question

solve by factoring.
$b^2 + 3b - 10 = 0$

$b = \square$ (use a comma to separate answers as needed.)

Explanation:

Step1: Factor quadratic expression

We find two numbers that multiply to $-18$ and add to $3$: $6$ and $-3$.
$b^2 + 3b - 18 = (b + 6)(b - 3) = 0$

Step2: Apply zero product property

Set each factor equal to 0.
$b + 6 = 0$ or $b - 3 = 0$

Step3: Solve for $b$

Isolate $b$ in each equation.
$b = -6$ or $b = 3$

Answer:

$b = -6, 3$