Answer
The solution set is empty (no solutions).
Work Step by Step
We are given the equation:
$4x^2+9\lt6x$
We simplify the given inequality as follows:
$4x^2+9\lt6x\\4x^2+9-6x\lt 0 \\(2x-1.5)^2-2.25+9\lt0\\(2x-1.5)^2\lt-6.75$
We see that $(2x-1.5)^2$ is never negative. This means that the solution set is empty (no solutions).