hey i need help factorizing this equation. I was told to first guess and find an answer for x then work from there but i cant seem to find any values of x that can make it equal 0.
Rather than instruct you to guess, it would have been better for them to tell you about the Rational Roots Theorem.
Are you familiar with it?
If a polynomial has integer coefficients, then any rational roots must be of the form x = p/q where p is a factor of the constant term and q is a factor of the leading coefficient.
The constant term is 6; its factors are 1, -1, 2, -2, 3, -3, 6, and -6. (These are the possible candidates for p.)
The leading coefficient is 10; its factors are 1, -1, 2, -2, 5, -5, 10, and -10. (These are the possible candidates for q.)
Now, it's just a matter of testing the possibilities until you find one that works.
Have fun. Let us know if you need more help finding rational roots using this theorem. (Hint: there is only one rational root for the polynomial that you posted.)