Solve x2 6x - 6 = 10 for x

X^2+6x-6=10

minus 10 from both sides

x^2+6x-16=0

factor

what 2 numbers mulitply to get - 16 and add to get 6?

8 and - 2

(x+8) (x-2) = 0

set each to zero

x+8=0

x=-8

x-2=0

x=2

x=2 and/or - 8