is 6w^9 + 4w^2= 10w^11

6w^9 + 4w^2= 10w^11    ..... rearrange as

10x^11 - 6w^9 - 4w^2 = 0    .....factor

w^2 (10w^9 - 6w^7 - 4) = 0

w = 0 is one solution

w = 1 is also a solution

Note that, replacing w with x and graphing y = 10x^2 - 6x^7 - 4 ......there are no more solutions as shown here......

https://www.desmos.com/calculator/hofntwwijv

They might at some point, but not all the time. If you simplify the left side, you can get this:

$$w^2(6w^7 + 4)$$

or, if you prefer:

$$2(3w^9 + 2w^2)$$

but never $$10w^11$$. That's because you can't add terms that don't have the same power on them, even though they have the same variable. That's because they have different exponents, and grow at different rates.