How do you solve #4(3n - 2) (4n + 1) = 0#?

1 Answer

Answer:

#n=2/3 and -1/4#

Explanation:

You can interpret the equation this way:
The product is 0 when you multiply the three factors 4, (3n-2), and (4n+1). Therefore, either of the three factors must be zero to make the statement true.

you can see it this way
#(4)\cdot(0)\cdot(4n+1)=0#
or
#(4)\cdot(3n-2)\cdot(0)=0#
or
#(4)\cdot(0)\cdot(0)=0#

Which means to say, that the factor #(3n-2)# and/or #(4n+1)# should be zero.

So,
#3n-2=0#
#=>3n=2#
#=>n=2/3#

Also,
#4n+1=0#
#=>4n=-1#
#=>n=-1/4#

Therefore, #n=2/3 and -1/4#

Another method is to expand the whole expression and perform long division. you should arrive with the same answer.