Final answer:
To solve (x² + 7x) / (2x), factor out x from the numerator to get x(x + 7) and simplify by canceling out the x's. We're left with x + 7 as the simplified expression, with the condition that x is not zero.
Step-by-step explanation:
The question asks to evaluate the expression (x² + 7x) / (2x). To do so, we can simplify the numerator and denominator by factoring an x out of the numerator, which gives us x(x + 7). Since we have an x in both the numerator and denominator, we can cancel out one factor of x. This leaves us with the simplified expression x + 7. Remember that we can only cancel the x if x is not equal to zero, as division by zero is undefined. So the solution to the expression is x + 7, provided that x is not zero.