SOLUTION: Solve the equation and check for extraneous solutions. square root 9a^2 +a-7 = 3a

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I guess that means you want values of a for which

The extraneous solutions that can occur are ones with
since the left side is always nonnegative. (The question doesn't ask for solutions where + or - square root of 9a^2 + a - 7 is 3a.)
Square both sides
and
Subtract 9*a^2 from both sides
and

Check your answer:
?
TRUE