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.

Guest Apr 24, 2019

#1**+1 **

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

ElectricPavlov Apr 24, 2019