Find all values of x such that \(\dfrac{x}{x+4} = -\dfrac{9}{x+3}\). If you find more than one value, then list your solutions in increasing order, separated by commas.
+36916 multiply both sides by x+4
to get
x = -9(x+4) / (x+3) Multiply both sides by x + 3 to get
x (x+3) = -9 (x+4) expand
x^2 + 3x = - 9x - 36
x^2 + 12x + 36 = 0 factor
(x+6)(x+6) = 0 two roots at x = -6
