The answer will have the form "m = something".
Typo? Should be `(m-8)/(m-4)`? But then this is an expression, not an equation. And the answer is a value, not an equation either.
Is the given rational equation:
I doubt this is supposed to be an equation. What does it mean "the following rational equation is undefined"? An equation either has solutions or it doesn't. I've never heard an equation characterized as defined or undefined.If the equation is m- 8/m= -4 then clearly m cannot be 0. Multiplying both sides by m gives m^2- 8= -4m or
m^2+ 4m- 8= 0. That is a quadratic equation that can be solved by completing the square or using the quadratic formula.
If, as Subhotosh Kahn suggested, you meant (m- 8)/m= -4 (m- 8/m would be bad notation here but many people make that mistake) then multiplying both sides by m, m- 8= -4m which reduces to 5m= 8.