SOLUTION: 7(8w-3)+13=2(6w+7) and 2n(n+4)+18=n(n+5)+n(n-2)-7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 7(8w-3)+13=2(6w+7) and 2n(n+4)+18=n(n+5)+n(n-2)-7      Log On


   

Question 190091: 7(8w-3)+13=2(6w+7) and 2n(n+4)+18=n(n+5)+n(n-2)-7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


7%288w-3%29%2B13=2%286w%2B7%29 Start with the given equation.


56w-21%2B13=12w%2B14 Distribute.


56w-8=12w%2B14 Combine like terms on the left side.


56w=12w%2B14%2B8 Add 8 to both sides.


56w-12w=14%2B8 Subtract 12w from both sides.


44w=14%2B8 Combine like terms on the left side.


44w=22 Combine like terms on the right side.


w=%2822%29%2F%2844%29 Divide both sides by 44 to isolate w.


w=1%2F2 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is w=1%2F2 which in decimal form is w=0.5.






# 2


2n%28n%2B4%29%2B18=n%28n%2B5%29%2Bn%28n-2%29-7 Start with the given equation.


2n%5E2%2B8n%2B18=n%5E2%2B5n%2Bn%5E2-2n-7 Distribute


2n%5E2%2B8n%2B18=2n%5E2%2B3n-7 Combine like terms.


2n%5E2%2B8n%2B18-2n%5E2-3n%2B7=0 Get all terms to the left side.


5n%2B25=0 Combine like terms.


5n=0-25 Subtract 25 from both sides.


5n=-25 Combine like terms on the right side.


n=%28-25%29%2F%285%29 Divide both sides by 5 to isolate n.


n=-5 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is n=-5