Give an example of an equation that has no solutions. Explain why your example has no solutions.

1 / [ x² + 3 ]  = 0      has no solution

Notice that no matter what value we substitute for  x,  we always have a non-zero result on the left side, while the right side is always 0

Also ......multiplying each side by [ x² + 3]  produces   1  = 0........which is never true  !!!!!!