that is when you get an identity such as 1=1 or x=x
we must make the coefients of each nth power term the same on both sides
on left side:
Qx-10
Qx is the linear (1st degree) term, its coefient is Q and the variable is x
-10 is the constant (0 degree) term
on right side:
-10x+P
-10x is the linear term (1st degree), its coefient is -10 and x is the variable
P is the constant term
we need to match constant and linear terms on both sides so they cancel
so set linear terms equal to each other
Qx=-10x
divide both sides by x
Q=-10
now solve for constant terms
-10 and P
set equal to each other
-10=P
easy
so for the values Q=-10 and P=-10 will the equation will have infinitely many solutions
