Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

If we change the South-East direction into North and North-East into West and all others similarly.
Can you find out which direction will be in the place of South-West direction?

You have two rectangular wires.

Both of them have property that when you light the fire from one end , it will take 60 minutes to get completely burn.

However, they do not burn at consistent speed (i.e it might be possible 1st 20% burn in 50 minutes and 80% can burn in 10 minutes).

So how could you measure 45 minutes ?

Railroad Crossing, look out for the cars. Can you spell that, without any R's ?

What 4-letter word can be written forward, backward or upside down, and can still be read from left to right?

Three fair coins are tossed in the air and they land with heads up. Can you calculate the chances that when they are tossed again, two coins will again land with heads up?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

why number 8549176320 is one of a kind?

Can you find the dog hidden in a group of pandas?

Why 1729 is a magic number? Answer Logically.