How many solutions does an equation have when the variable adds out and the final sentence is false?

Explanation:

When the variable adds out and the final sentence is false you have arrived to a contradiction, also called absurd, meaning that the starting equality was a wrong assumption that could never be true. Thus, the equation has no solutions.

An example of such situation is this equation:

To solve it, you use the subtraction property of the equalities: subtract both x and 3 from both sides:

The variable added out and the final sentences 0 = 6 is false. That means that none value of x satisfies the original equation and it has no solutions.

b) nuclear ive learned that in a pedtrodic table

considering the question as per the attachment

here we can see that the radon nuclide has 222 as the atomic mass number and 86 as the atomic number.

when it undergoes nuclear fission it gives polonium which has atomic mass number as 218 and atomic number will be 84 along with a helium nucleus which has 4 atomic mass number and 2 as its atomic number.

222 = 218 + 4 (atomic mass number)

86 = ? + 2; therefore ? = 86-2 = 84.

the atomic mass number of polonium will be 84.