Find the Domain 9q^2-3q=8q^2-5q+63

Problem

9*q2−3*q=8*q2−5*q+63

Solution

1. Identify the type of equation provided. This is a quadratic equation where both sides are polynomials.

2. Recall the definition of a domain for a polynomial equation. The domain of any polynomial function or equation involving only polynomial terms is the set of all real numbers, as there are no denominators that could be zero and no even roots of negative numbers.

3. Conclude that since there are no restrictions such as division by zero or square roots of negative values, the variable q can take any real value.

Final Answer

Domain: *(−∞,∞)

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