### Home > CCA2 > Chapter 3 > Lesson 3.2.2 > Problem3-79

3-79.

How many solutions does each equation below have?

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.

1. $4x + 3 = 3x + 3$

1 solution

1. $3(x − 4) − x = 5 + 2x$

1. $(5x − 2)(x + 4) = 0$

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.

1. $x^2 − 4x + 4 = 0$