### Home > GC > Chapter 12 > Lesson 12.1.1 > Problem 12-7

12-7.

The equations below are the types of equations that you will need to be able to solve automatically in a later course. Try to solve these in 10 minutes or less. The solutions are provided after problem 12-11 for you to check your answers. Homework Help ✎

2

*x −*5 = 7*x*^{2}= 162(

*x −*1) = 6= 6 2

*x*^{2}+ 5 =*x*^{2}+ 14(

*x −*3)(*x*+ 5) = 0

Add 5 to both sides.

*x* = 6

Remember that 16 is a perfect square, and there are two answers.

4 or −4

Distribute before simplifying.

*x* = 4

Multiply by the denominator.

30

Set equal to zero, then factor.

3, −3

Which numbers make this true?

3 or −5