Final answer:
The values -2.5 and 5 cannot be solutions for the given equation 6/(2x+5)-1/(x-5)=0.
Step-by-step explanation:
To determine the values of the variable that cannot be solutions for the given equation, we need to identify any values that would make the equation undefined or result in an inconsistency.
Starting with the first term, we have 6/(2x+5). Since division by zero is undefined, we need to find values of x that would make the denominator equal to zero. Solving 2x+5 = 0 gives us x = -2.5. Therefore, x = -2.5 is not a valid solution for the equation.
Next, we look at the second term, which is 1/(x-5). Again, division by zero is undefined, so we need to find values of x that would make the denominator equal to zero. Solving x-5 = 0 gives us x = 5. Therefore, x = 5 is not a valid solution for the equation.
Therefore, the values -2.5 and 5 cannot possibly be solutions for the given equation.