Answer:
x= -1 (looks like C)
Step-by-step explanation:
To solve for x, factor the quadratic. Begin by factoring out a GCF of 5.
[tex]5x^2+30x+25 = 5(x^2+6x+5)[/tex]
To factor the remaining parts of the quadratic, look for two factors of 5 which add to 6. This would be 1 and 5.
So the quadratic factored is:
[tex]5(x^2+6x+5) = 5(x+1)(x+5)[/tex]
To solve for x, set each factor equal to 0 and solve.
x+1 = 0
x = -1
x+5 = 0
x=-5
-1 is the largest solution.