36=25x^2-30x+9

Solution for 36=25x^2-30x+9 equation:

36=25x^2-30x+9

We move all terms to the left:

36-(25x^2-30x+9)=0

We get rid of parentheses

-25x^2+30x-9+36=0

We add all the numbers together, and all the variables

-25x^2+30x+27=0

a = -25; b = 30; c = +27;
Δ = b2-4ac
Δ = 302-4·(-25)·27
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-60}{2*-25}=\frac{-90}{-50}
=1+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+60}{2*-25}=\frac{30}{-50}
=-3/5
$