Answer:
x=-5
Explanation:
1/2x^2+5x+25/2=0
Multiply each side by 2 to clear the fractions
2*(1/2x^2+5x+25/2)=0*2
Distribute
x^2+10x+25=0
What two numbers multiply together to give us 25 and add together to give us 10
5*5 = 25
5+5 =10
(x+5) (x+5) =0
Using the zero product property
x+5 =0 x+5 = 0
x+5-5= 0-5 x+5-5 =0-5
x=-5 x=-5
x=-5