im not trying to solve for x. just tell me if this is right, and if it isnt please correct me.
5x²+10=15/(1 x x²) WRONG, please tell me the reasons for your answer
5+10=15/(1 x x² x x²) WRONG again, please tell me the reasons for your answer
5x²+10=15/(1 x x²)
this is the right thing to do:
ax²+bx²=(a+b)x² -> you get 15x²=15 now divide with with 15 and you are done.
Why are these two steps wrong:
5x²+10=15/(1 x x²) & 5+10=15/(1 x x² x x²)
You are obviously dividing with x² . When dividing the equation you must be sure to divide both sides! So in your case you have divided 15 with x², that is OK. On the left side you have divided ONLY 10 with x² and forgot the 5.
The right thing would be:
5+10=15/(1 x x²) Or long way: 5x²+10x²=15 /x² -> 5x²/x²+10x²/x²=15/x²