x×(x+−3x=2) is the first step which gives
x2−3=2x Now subtract 2x from each side.
x2−2x−3=2x−2x resulting in
x2−2x−3=0 break this into two binomials.
−3 means that one of the factors of three must be negative and one must be positive.
−2 means that the negative factor must be larger than the positive factor.
The possible factors of −3 are 1x(−3) and −1x(+3) using the information above the correct choice is +1x−3 so
(x+1)×(x−3)=0 solve for each binomial
x+1=0 subtract -1 from each side
x+1−1=0−1 so
x=−1
x−3=0 add three to each side
x−3+3=0+3
x=+3
Put in this values to make sure there are no extraneous variables:
−1+(−3−1)=2
That works. Now try the other one,
3+(−33)=2
That works too. So both work!
