How do you solve #8x^5 + 10x^4 = 4x^3 + 5x^2#?
Move all the terms to the left.
Group in pairs and factor each pair.
Factor out the common factor and common bracket:
There are now three factors. Set each equal to zero and solve.
We can easily rewrite
which means that
Now, for a polynomial to vanish, one of its factors have to be zero. So, either