x=25x^2-30x+9

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

x=25x^2-30x+9

We move all terms to the left:

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-25x^2+31x-9=0

a = -25; b = 31; c = -9;
Δ = b2-4ac
Δ = 312-4·(-25)·(-9)
Δ = 61
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-\sqrt{61}}{2*-25}=\frac{-31-\sqrt{61}}{-50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+\sqrt{61}}{2*-25}=\frac{-31+\sqrt{61}}{-50}
$