x2-803x-20=-50

Solution for x2-803x-20=-50 equation:

x2-803x-20=-50

We move all terms to the left:

x2-803x-20-(-50)=0

We add all the numbers together, and all the variables

x^2-803x+30=0

a = 1; b = -803; c = +30;
Δ = b2-4ac
Δ = -8032-4·1·30
Δ = 644689
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{-(-803)-\sqrt{644689}}{2*1}=\frac{803-\sqrt{644689}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-803)+\sqrt{644689}}{2*1}=\frac{803+\sqrt{644689}}{2}
$