How do I go about solving this? 2|3x+4y-2|+3sqrt[25-5x+2y]=0

[Steven G]

That certainly is not what I meant when I said that. The point is that the left side, in itself, is always positive or zero, and the reason for that (that this is true of each term) leads to the observation that both must be zero in order for the sum to be zero.

Dr Peterson,
I 100% knew what you meant. It was the OP that I wasn't sure about. In fact, when I made up an example equation, the OP could not tell me exactly what the left hand side equalled (when the rhs was 11).