x2-6x+9x=256

Solution for x2-6x+9x=256 equation:

x2-6x+9x=256

We move all terms to the left:

x2-6x+9x-(256)=0

We add all the numbers together, and all the variables

x^2+3x-256=0

a = 1; b = 3; c = -256;
Δ = b2-4ac
Δ = 32-4·1·(-256)
Δ = 1033
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{-(3)-\sqrt{1033}}{2*1}=\frac{-3-\sqrt{1033}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1033}}{2*1}=\frac{-3+\sqrt{1033}}{2}
$