For what value of x is the rational expression below equal to zero? 12-x/x-6 a. 9 b. 3 c. -9 d. -3

(12 - x)/(x - 6) = 0

(x - 6)[(12 - x)/(x - 6)] = 0(x - 6)

12 - x = 0

-x = -12

x = -12/-1

x = 12/1

x = 12

The correct answer is 12. When x = 12, the rational expression is 0.

If you are looking for the value of x that makes the rational expression undefined, then we set the denominator to 0 and solve for x.

The answer choices listed do not make the rational expression 0.

Don't believe me? Try it. Let x be the given choices and simplify. You will see that 9, 3, -9, and -3 do not make the rational expression 0.

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