# Math Help - solving for x with multiple exponents higher than 2

1. ## solving for x with multiple exponents higher than 2

I don't understand what is going on in the pink area. Can someone explain this?

thanks

2. ## Re: solving for x with multiple exponents higher than 2

it's just factoring ...

$8(x+3)^7 (x-5)^4 + 4(x+3)^8(x-5)^3 = 0$

note the two terms have $4(x+3)^7$ and $(x-5)^3$ in common. factor them out ...

$4(x+3)^7(x-5)^3[2(x-5) + (x+3)] = 0$

3. ## Re: solving for x with multiple exponents higher than 2

oh I see now. ok thanks!