Question 90079
x^2 - 6x - 16 = 0
Factor to get:
(x-8)(x+2)=0
Since the product is zero one of those factors must be zero:
x-8 = 0 or x+2 = 0
Solve for x:
x=8 or x=-2
--------------------
 
6x^2 + 42x = 0
Factor to get:
6x(x+7) = 0
6x=0 or x+7=0 
x=0 or x=-7
---------------

6x^2 + 3x - 18 = 0 
3(2x^2 + x - 6) = 0
Divide both sides by 3 to get:
2x^2 + x -6 = 0
Factor to get:
(2x-3)(x+2)=0
2x-3 = 0 or x+2 = 0
x= 3/2 or x=-2
===================

Cheers,
Stan H.