For which values of P and Q does the following equation have Infinity many solutions? P*+57=-75x+Q

earrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

p*x+57 - (-75*x+q) = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Unless there is none then in that case there very well may be infinite solutions