Question

Solving for x in functions

Answer 1

If \[\frac{ \left( 2x-3)(x+5 \right) }{ x-7 } = 0\]then x =

a. 5, 7, -3/2
b. 5 or 3/2
c. -5, 7, or 3/2
d. -5 or 3/2

I need thorough steps on how to solve. Thanks.

Answer 2

set the numerator equal to zero

Answer 3

note that the expression is undefined when the denominator equals zero

Answer 4

yes so it can never equal 7

Answer 5

so d is correct?

Answer 6

yes @Bitcube