x = - 1; x = - 1 and x = - 3; x ^ 2 + 4x + 3 = 0; - x ^ 2 + x - 3 = 0 No Real Solution x = 7an * dx = - 2; x ^ 2 + 2x + 1 = 0; x ^ 2 - 5x - 14 = 0; 2x ^ 2 + 3x - 20 = 0; x = 5/2 and x = - 4

Some of the equations you provided have multiple solutions, while others have no real solutions. Here is a breakdown of the solutions:

1) x = -1
2) x = -1 and x = -3
3) x^2 + 4x + 3 = 0
-1 and -3 are the solutions to this equation.

4) -x^2 + x - 3 = 0
This equation has no real solutions.

5) x = -2
6) x^2 + 2x + 1 = 0
(-1) is the solution to this equation.

7) x^2 - 5x - 14 = 0
x = 7 and x = -2 are the solutions to this equation.

8) 2x^2 + 3x - 20 = 0
x = 5/2 and x = -4 are the solutions to this equation.