5x²+10x²=15/1
5x²+10=15/(1 x x²)
5+10=15/(1 x x² x x²)

Can someone tell me what I am doing wrong?

2. Originally Posted by Ry122
5x²+10x²=15/1
5x²+10=15/(1 x x²)
5+10=15/(1 x x² x x²)

Can someone tell me what I am doing wrong?
Is 5x²+10x²=15/1 meant to be $5x^2 + 10x^2 = \frac{15}{1}$ ?

3. yes

4. Originally Posted by Ry122
yes
Then the next line would clearly be 15x^2 = 15 ......

5. what do u mean?

6. im not trying to solve for x. just tell me if this is right, and if it isnt please correct me.
5x²+10x²=15/1
5x²+10=15/(1 x x²)
5+10=15/(1 x x² x x²)

7. Originally Posted by Ry122
im not trying to solve for x. just tell me if this is right, and if it isnt please correct me.
5x²+10x²=15/1
5x²+10=15/(1 x x²)
5+10=15/(1 x x² x x²)
I have no idea what you're trying to if you're not solving for x. What you have posted makes no mathematical sense from the second line onwards.

8. ## Simplification

Primarily, you can add 5x^2 and 10x^2 getting 15x^2. You can then divide the whole equation with 15, getting equation

1=x^2 (1)

Thus x is square root of 1, which can be either +1 or -1.

9. im not trying to solve for x. just tell me if this is right, and if it isnt please correct me.
5x²+10x²=15/1

10. 5x²+10x²=15/1

WRONG:
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:
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
5+10=15/x²