Question

How do I factor 6x^2+17x+5=0

Answer 1

Explanation:

6x^2+17x+5=0

(3x+1)(2x+5)=0

x = -1/3, x = -5/2

Answer 2

Split the second term in 6x^2 + 17x + 5 into two terms

6x^2 + 15x + 2x + 5 = 0

Factor out common terms in the first two terms, then in the last two terms.

3x(2x + 5) + (2x + 5) = 0

Factor out the common term 2x + 5

(2x + 5)(3x + 1) = 0

Solve for x

x = -5/2, -1/3