How do you solve #x^2-x=6#?
Set the trinomial equal to zero and factor into two binomials .
The C value is negative this means one of the binomials must be negative and the other positive.
The B value is negative this means that the negative value is larger than the positive value.
The coefficient of the B is 1 This means that the two factors have a difference of 1
Factors of 6 are
2 and 3 have a difference of 1 so these are the factors that work
The 3 must be negative because it is larger and the 2 positive so
Set each factor equal to zero and solve for each of the binomials to find the possible values for x.