Steps to solve for the zero:
(x + 7)(x + 5) = 0
~Set both factors to equal zero
x + 7 = 0
x + 5 = 0
~Solve for x in [ x + 7 = 0 ]
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
~Solve for x in [ x + 5 = 0 ]
x + 5 = 0
x + 5 - 5 = 0 - 5
x = -5
Therefore, the solutions are x = -7 and x = -5
Best of Luck!