SOLUTION: 4(3q+2)=2(6q+4)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 4(3q+2)=2(6q+4)      Log On


   



Question 65883: 4(3q+2)=2(6q+4)
Found 2 solutions by checkley71, Edwin McCravy:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4(3Q+2)=2(6Q+4)
12Q+8=12Q+8
12Q-12Q=8-8
0=0 A VALID EQUATION WITH THE ONLY SOLUTION FOR Q=0??????
PROOF
4(3*0+2)=2(6*0+4)
0+8=0+8
8=8

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
 4(3q + 2) = 2(6q + 4)

Use the distributive principle to multiply the outer 
multiplier by each inner term inside the parentheses:

4·3q + 4·2 = 2·6q + 2·4

   12q + 8 = 12q + 8

Subtract 8 from both sides

       12q = 12q 

Subtract 12q from both sides,
writing the left side as 0q

        0q = 0

Any number when substituted for
q will give a true equation. That's
because 0 times any number will
always equal to 0.  So this kind 
of an equation is called
an "identity".  Every number is a 
solution to it.

Edwin