How am I supposed to factor this?

Question

(x²—75) * (3x²+4x—6)=0

Answer 1

I miss read the question

Answer 2

Alex,

 

Since the two factors in the problem multiplied together equal 0, either one or the other or both need to equal 0.

 

Then:

 

x² - 75 = 0 => x² = 75 => x = √75 = √25•3 = ±5√3

 

For the second factor:

 

3x² + 4x - 6 = 0

 

You can use completing the square or the quadratic formula to find the two roots of this quadratic.

 

There are 4 total solutions since each quadratic has two.