Solve the following equation. can you show the steps so I know how to do them?
x over x+3 + 2 over 5 = 0
x/(x+3) + 2/5 = 0
Put all fractions over a common denominator: 5(x+3)
(x*5 + 2(x+3))/5(x+3) = 0
(5x + 2x + 6)/5(x+3) = 0
(7x+6)/5(x+3) = 0
Now, if x = -3 we have a problem. Can't divide by zero.
Otherwise, the fraction is zero if the numerator is zero.
7x+6 = 0
x = -6/7
That's not -3, so we're good.