Comparing Quadratic vs Linear Expressions

Consider the expressions below:

$$ x^2 + 2x - 8 $$

and

$$ 3x + 4 $$

For which values of $$ x $$ do these two expressions yield the same result? Solve the equation:

$$ x^2 + 2x - 8 = 3x + 4 $$

Determine if Quantity A, which represents the left-hand expression, is greater than, less than, or equal to Quantity B, which represents the right-hand expression, as $$ x $$ approaches the real number solutions of this equation.