(-1)=-x^2-9x+3

Solution for (-1)=-x^2-9x+3 equation:

(-1)=-x^2-9x+3

We move all terms to the left:

(-1)-(-x^2-9x+3)=0

We add all the numbers together, and all the variables

-(-x^2-9x+3)-1=0

We get rid of parentheses

x^2+9x-3-1=0

We add all the numbers together, and all the variables

x^2+9x-4=0

a = 1; b = 9; c = -4;
Δ = b2-4ac
Δ = 92-4·1·(-4)
Δ = 97
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{-(9)-\sqrt{97}}{2*1}=\frac{-9-\sqrt{97}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{97}}{2*1}=\frac{-9+\sqrt{97}}{2}
$