Solve for x: x+3/x = -4 Bring x+3/x together using the common denominator x: (x^2+3)/x = -4 Multiply both sides by x: x^2+3 = -4 x Add 4 x to both sides: x^2+4 x+3 = 0 The left hand side factors into a product with two terms: (x+1) (x+3) = 0 Split into two equations: x+1 = 0 or x+3 = 0 Subtract 1 from both sides: x = -1 or x+3 = 0 Subtract 3 from both sides: Answer: | | x = -1 or x = -3
