Question

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

Answer 1

`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`

Answer 2

`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`