Simplify the rational expression [math]\frac{x^2+9x+14}{x^2+7x}\div\frac{x^2+x-2}{4x^2-4x}[/math].
[list=1] [*]Rewrite the division problem as a multiplication problem, using the reciprocal of the divisor. [*]Identify any invalid values of the rewritten expression. [*]Check for factors that may cancel, then multiply the terms of the rewritten expression. [/list]