-12x(x+8)=11x-

Solution for -12x(x+8)=11x- equation:

-12x(x+8)=11x-

We move all terms to the left:

-12x(x+8)-(11x-)=0

We add all the numbers together, and all the variables

-12x(x+8)-(+11x)=0

We multiply parentheses

-12x^2-96x-(+11x)=0

We get rid of parentheses

-12x^2-96x-11x=0

We add all the numbers together, and all the variables

-12x^2-107x=0

a = -12; b = -107; c = 0;
Δ = b2-4ac
Δ = -1072-4·(-12)·0
Δ = 11449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11449}=107$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-107)-107}{2*-12}=\frac{0}{-24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-107)+107}{2*-12}=\frac{214}{-24}
=-8+11/12
$