How do you factor and solve #x^2 + 5x + 6=0#?

2 Answers

Answer:

#x=-2, -3#

Explanation:

#x^2+5x+6=0#

#x^2+2x+3x+6=0#

#x(x+2)+3(x+2)=0#

#(x+2)(x+3)=0#

#x+2=0, \ \ x+3=0#

#x=-2, \ \x=-3#

#x=-2, -3#

Jul 24, 2018

Answer:

#x=-2" or "x=-3#

Explanation:

#"The factors of "+6" which sum to "+5#

#"are "+2" and "+3#

#(x+2)(x+3)=0#

#"equate each factor to zero and solve for "x#

#x+2=0rArrx=-2#

#x+3=0rArrx=-3#