-35x+x^2=-240

Solution for -35x+x^2=-240 equation:

-35x+x^2=-240

We move all terms to the left:

-35x+x^2-(-240)=0

We add all the numbers together, and all the variables

x^2-35x+240=0

a = 1; b = -35; c = +240;
Δ = b2-4ac
Δ = -352-4·1·240
Δ = 265
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{-(-35)-\sqrt{265}}{2*1}=\frac{35-\sqrt{265}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{265}}{2*1}=\frac{35+\sqrt{265}}{2}
$