Respuesta :

The equation 6 | x | + 25 = 15 can't be solved because the output would be a negative.  Let me break it down a little bit.

This is your original equation:

6 | x | + 25 = 15

First step would be to move the 25 over.

6 | x | = -10

Above is what we would get from subtracting the 25 over.  Now we just have to get the variable by itself by dividing the 6.

| x | = -1 2/3

No matter what X equals, even if it equals -1 2/3, there are absolute value brackets surrounding the variable.  So the X is going to be a positive number regardless of the number X equals.  Therefore the equation cannot ever be true.  I hope this helped!