To find the quotient of the expression \( 75x^2 - 205 \), you would typically want to factor the polynomial first, if possible, and then divide by another expression. However, no specific term is provided to divide by in your question.
Assuming you would like to factor the expression, we can factor out the greatest common factor (GCF). The GCF of \( 75 \) and \( 205 \) is \( 5 \):
\[ 75x^2 - 205 = 5(15x^2 - 41) \]
If you would like to perform a division (for example, dividing this expression by \( x \) or some other term), please specify that term, and I'll help you with that calculation.