Step-by-step explanation:
x²+3x-4=6
Taking 6 to the left hand side
6 is positive on the right hand side,but 6 will become negative when crossing the equal to sign(=)
x²+3x-4-6=0
x²+3x-10=0
The factors of -10 are
-5 and +2
-2 and +5
out of these factors ,only -2 and +5 will give (+3) that is the coefficient of x.
so substitute -2x and 5x for +3x
x²-2x+5x-10=0
Factorizing,it becomes
x(x-2)+5(x-2)=0
(x+5)(x-2)=0
x+5=0 or x-2=0
Therefore,x= -5 or x=2