Question 50590
please solve for W

(8 + w) * w = 308
Solution: 
==> w^2+8w=308 (on multiplying the left hand side)
=> w^2+8w-308=0 (subtracting 308 from both the sides)
This becomes a quardratic equation now. Solution can be given as
{{{w= (-8+-sqrt(8^2-4*1*-308))/(2*1)}}} ( using the formula {{{x=(-b+-sqrt(b^2-4*a*c))/(2*a)}}}
==> w=14 or -22.