Question

Solve. x2 + 5x = –6

x = 5 and x = 1

x = –5 and x = –1

x = 3 and x = 2

x = –3 and x = –2

Answer 1

first you want the equation ot equal zero
so add six to both sides to get
x^2+5x+6 = 0
now you factor to get (x+2)(x+3)=0
now because the factors multiply to zero, you know that one of them must equal zero
so you write
x+2 = 0 and x+3=0
x=-2 and x=-3