Answer
$\dfrac{5}{3}$
Work Step by Step
Given: $9x^2=30x-25$
or, $9x^2-30x+25=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$9x^2-15x-15x+25=0$
or, $(3x-5)(3x-5)=0$ or, $(3x-5)^2=0$
Now $3x-5=0$
This implies $x=\dfrac{5}{3}$
