CPM Homework Help : AC Problem 10-7

How many solutions does each equation below have?

Hint:

What is the highest power of $x$ ? That is the number of solutions you should be trying to find. But, remember that some equations have no solution and others have infinitely many solutions. Try solving each equation.

$4x + 3 = 3x + 3$
Answer (a):
1 solution

$3\left(x-4\right)-x=5+2x$

$\left(5x-2\right)\left(x+4\right)=0$
Hint (c):
In this problem you have to multiply the two factors to see the highest power of $x$ if you don't recognize the number of solutions it will have.

$x^2-4x+4=0$