(-4)=x^2+7x+6

Solution for (-4)=x^2+7x+6 equation:

(-4)=x^2+7x+6

We move all terms to the left:

(-4)-(x^2+7x+6)=0

We add all the numbers together, and all the variables

-(x^2+7x+6)-4=0

We get rid of parentheses

-x^2-7x-6-4=0

We add all the numbers together, and all the variables

-1x^2-7x-10=0

a = -1; b = -7; c = -10;
Δ = b2-4ac
Δ = -72-4·(-1)·(-10)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-3}{2*-1}=\frac{4}{-2}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+3}{2*-1}=\frac{10}{-2}
=-5
$