How to know if something is a no solution or no real solution?

Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure acb onto itself?

Which composition of similarity transformations maps polygon abcd to polygon a'b'c'd'? a dilation with a scale factor less than 1 and then a reflection a dilation with a scale factor less than 1 and then a translation a dilation with a scale factor greater than 1 and then a reflection a dilation with a scale factor greater than 1 and then a translation

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3