I,m taking a college algebra course in college and I don't know how to solve by factoring.

Question

This is the problem 12x^{2 ₊} 14x=0

Answer 1

Look for a common factor.

 

12x²+14x=0 has a common factor or 2x

 

2x(6x+7)=0

 

Or you can solve for x

 

12x²+14x = 0  can be rearranged to:

 

12x²=-14x 

 

divide both sides by 2x reduces to:

 

6x = -7

 

divide both sides by 6 gives:

 

x = -7/6 or -1.166......

 

Hope this is what your looking for.

 

 

Answer 2

12x² + 14x=0

 

First, factor what both terms have in common.  (this should ALWAYS be your first step - if possible)

We can factor out a 2x

 

2x(6x+7)=0

 

Set both terms = 0

 

2x = 0     AND   6x+7=0

 

x=0                   x=-7/6