Answer
$\dfrac{3}{2}$
Work Step by Step
Given: $4x^2=12x-9$
or, $4x^2-12x+9=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$4x^2-6x-6x+9=0$
or, $(2x-3)(2x-3)=0$ or, $(2x-3)^2=0$
Now $2x-3=0$
This implies $x=\dfrac{3}{2}$
