-2=x2-4x-5

Solution for -2=x2-4x-5 equation:

-2=x2-4x-5

We move all terms to the left:

-2-(x2-4x-5)=0

We add all the numbers together, and all the variables

-(+x^2-4x-5)-2=0

We get rid of parentheses

-x^2+4x+5-2=0

We add all the numbers together, and all the variables

-1x^2+4x+3=0

a = -1; b = 4; c = +3;
Δ = b2-4ac
Δ = 42-4·(-1)·3
Δ = 28
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{28}=\sqrt{4*7}=\sqrt{4}*\sqrt{7}=2\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{7}}{2*-1}=\frac{-4-2\sqrt{7}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{7}}{2*-1}=\frac{-4+2\sqrt{7}}{-2}
$