Being , consider the following equation: 2. (6

*x*- 4) = 3.(4*x*- 1).

Notice now your resolution:

2 . 6*x - *2 . 4 = 3 . 4*x *- 3 . 1

12*x* - 8 = 12*x* - 3

12*x* - 12*x* = - 3 + 8

0 . *x* = 5

Since no number multiplied by zero equals 5, we say that the equation is ** impossible** and therefore has no solution. Soon, *V* = Ø.

So an equation of the type **ax**** + B = 0** it is impossible when and

Being , consider the following equation: 10 - 3

*x*- 8 = 2 - 3*x*.

Note your resolution:

-3*x* + 3*x* = 2 - 10 + 8

0 . *x* = 0

Since every number multiplied by zero equals zero, we say that the equation has **endless solutions**. Equations of this type, where any value assigned to the variable makes the equation true, are called **identities**.