Question

Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10

X=3
X=2
X=-3 and 2
No solution

Answer 1

(2/5)+(3/(5x))=(x+5)/10
nasty fractions, we hates it forever

so

get rid of all those nasty fractions
multiply both sides by 10x
4x+6=x(x+5)
distribute
4x+6=x^2+5x
minus (4x+6) from both sides
0=x^2+x-6
factor
0=(x-2)(x+3)
set each to zero
0=x-2
2=x

0=x+3
-3=x

x=-3 and 2


3rd option is answer