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Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions".

x/7x2+6x

User Obay
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Final answer:

The restricted values of the rational expression x/(7x^2+6x) are x = 0 and x = -6/7.

Step-by-step explanation:

The restricted values of x for the rational expression x/(7x^2+6x) are the values of x that would make the denominator equal to zero since division by zero is undefined.

To find the restricted values, we set the denominator equal to zero and solve for x:

7x^2 + 6x = 0

Factoring out x from both terms:

x(7x + 6) = 0

Setting each factor equal to zero:

x = 0 or 7x + 6 = 0

The first solution is x = 0. To find the second solution, we solve the equation 7x + 6 = 0:

7x = -6

x = -6/7

Therefore, the restricted values of x for the rational expression are x = 0 and x = -6/7.

User Transact Charlie
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