given x^2+5X+6=0, solve for the value(s) of x.

Solve for x:
x^2+5 x+6 = 0

 

The left hand side factors into a product with two terms:
(x+2) (x+3) = 0

 

Split into two equations:
x+2 = 0 or x+3 = 0

 

Subtract 2 from both sides:
x = -2 or x+3 = 0

 

Subtract 3 from both sides:
Answer: | x = -2     or     x = -3