It is a consequence of the property that 0 is the additive identity.
Identity
It's called the zero property
The zero property because it has a zero.
zero property
Symmetric Property of Addition
x squared -2x-3 equals 0 is the same as (x + 1)(x - 3) = 0
The existence of an additive identity, denoted by 0, which has the property that x + 0 = 0 + x = x for all x belonging to a set of numbers.
83*0 = 0 is the multiplicative property of zero. Incidentally, the identity property of multiplication states that x*1 = x = 1*x for all x in the group. That is a different property though sometimes confused with this one.
6
Yes it does equal 0. This is proved by commutative property of maths which says that 2 numbers can be multiplied in many ways.
4x2-4x-3=0 can be written as (2x-3)(2x+1)=0 Anything times by 0 equals 0 ( the zero property of multiplication) therefore we need to make each one of these terms in brackets equal to 0. so 2x-3=0 giving x=3/2 and 2x+1=0 giving x=-1/2