-x^2+14x+1800=0

Solution for -x^2+14x+1800=0 equation:

-x^2+14x+1800=0

We add all the numbers together, and all the variables

-1x^2+14x+1800=0

a = -1; b = 14; c = +1800;
Δ = b2-4ac
Δ = 142-4·(-1)·1800
Δ = 7396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7396}=86$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-86}{2*-1}=\frac{-100}{-2}
=+50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+86}{2*-1}=\frac{72}{-2}
=-36
$