Find the derivative of the given expression x² + 4xy + 4y² = 0 with respect to x .
a) {dy}/{dx} = -{x+2y}/{2x+y}
b) {dy}/{dx} = -{2x+4y}/{x+2y}
c) {dy}/{dx} = -{2x+4y}/{4x+2y}
d) {dy}/{dx} = -{x+2y}/{4x+2y}