-4x^2-83x=-3x+396

Solution for -4x^2-83x=-3x+396 equation:

-4x^2-83x=-3x+396

We move all terms to the left:

-4x^2-83x-(-3x+396)=0

We get rid of parentheses

-4x^2-83x+3x-396=0

We add all the numbers together, and all the variables

-4x^2-80x-396=0

a = -4; b = -80; c = -396;
Δ = b2-4ac
Δ = -802-4·(-4)·(-396)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-8}{2*-4}=\frac{72}{-8}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+8}{2*-4}=\frac{88}{-8}
=-11
$