# How do you solve #8x^5 + 10x^4 = 4x^3 + 5x^2#?

##### 2 Answers

#### Explanation:

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.

#### Explanation:

We can easily rewrite

Subtracting

which means that

'

i.e.

Now, for a polynomial to vanish, one of its factors have to be zero. So, either

If

or if

or, finally,