Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.
\(x(x+6)>x^2-x+30\)
\(x^2+6x>x^2-x+30\)
\(6x>-x+30\)
\(7x>30\)
\(x>{30\over{7}}\)
In interval notation, your answer is (30/7, inf)