Answer:
w=3/5 or w=-5
Step-by-step explanation:
5w^2+22w=15
5w^2+22w-15=0 (quadratic equation)
a=5, b=22, c=-15
w1,2 =(-b+-sqrt(b^2-4ac))/2a
w1,2 =(-22+-sqrt(22^2-4*5*(-15))/2*5
w1,2 =(-22+-sqrt(484+300))/10
w1,2=(-22+-sqrt(784))/10
w1,2=(-22+-28)/10
w1=(-22+28)/10, w2=(-22-28)/10
w1=6/10, w2=-50/10
w1=3/5, w2=-5
