Question 560369
64k^2+112k+49=0

There are different ways to solve this problem but I like and advise to use method of finding roots uisng formula.

roots, alpha = [-b + sqrt(b^2 - 4ac)]/2a , beta = [-b - sqrt(b^2 - 4ac)]/2a where a = 64, b = 112 and c = 49

alpha = [-b + sqrt(b^2 - 4ac)]/2a  = [-112 + sqrt(112^2 - 4*64*49)]/2*64 = -7/8
beta = [-b - sqrt(b^2 - 4ac)]/2a = [-112 - sqrt(112^2 - 4*64*49)]/2*64 = -7/8

the solution is x = -7/8, -7/8