Question

solve for w.
$w^{2}+9w + 20 = 0$
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Factor the quadratic trinomial

Find two numbers that multiply to 20 and add to 9, then factor:
$w^2 + 9w + 20 = (w+4)(w+5) = 0$

Step2: Apply zero product property

Set each factor equal to 0:
$w+4=0$ or $w+5=0$

Step3: Solve for w in each equation

For $w+4=0$: $w=-4$; for $w+5=0$: $w=-5$

Answer:

-4, -5