Examples of no solution equations

Answer 1

x = x + 1x squared = -1 (if you only accept real numbers - this equation does have solutions in the complex numbers)sin x = 2 (the sine can only be in the range -1 to +1)

Answer 2

x + 2 = 1 where x is positive. 2x = 3 where x is an integer.

x^2 = -3 where x is real.