Question

Solve: x2 – x = 2
a) x = 2, x = -1
b) x = -2, x = 1
c) x = -1, x = -2
d) x = 1, x = 2

Answer 1

you need to set the left-hand side of the equation equal to 0,
x^(2)-x-2=0

1*-2=-2 and 1-2=-1, so insert 1 as the right hand term of one factor and -2 as the right-hand term of the other factor.
(x+1)(x-2)=0

x=-1,2