-x^2+14x+150=-201

Solution for -x^2+14x+150=-201 equation:

-x^2+14x+150=-201

We move all terms to the left:

-x^2+14x+150-(-201)=0

We add all the numbers together, and all the variables

-1x^2+14x+351=0

a = -1; b = 14; c = +351;
Δ = b2-4ac
Δ = 142-4·(-1)·351
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-40}{2*-1}=\frac{-54}{-2}
=+27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+40}{2*-1}=\frac{26}{-2}
=-13
$