0
First multiply both sides by -1 to get rid of all the negative signs:
Thus, a2 + 19a + 88 = 0
then you need to find two factors of 88 whose sum is 19 ie 8 and 11
which gives (a + 8)*(a + 11) = 0
so that a + 8 = 0 or a + 11 = 0
that is, a = -8 or a = -11
Alternatively,
you can solve a2 + 19a + 88 = 0 using the quadratic formula:
a = [-19 ± sqrt(192 - 4*1*88)]/(2*1)
= [-19 ± sqrt(361 - 352)]/2
= [-19 ± sqrt(9)]/2
= [-19 ± 3]/2
= -16/2 or -22/2
= -8 or -11
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