(11c-77)(32-8c)=0

Solution for (11c-77)(32-8c)=0 equation:

(11c-77)(32-8c)=0

We add all the numbers together, and all the variables

(11c-77)(-8c+32)=0

We multiply parentheses ..

(-88c^2+352c+616c-2464)=0

We get rid of parentheses

-88c^2+352c+616c-2464=0

We add all the numbers together, and all the variables

-88c^2+968c-2464=0

a = -88; b = 968; c = -2464;
Δ = b2-4ac
Δ = 9682-4·(-88)·(-2464)
Δ = 69696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69696}=264$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(968)-264}{2*-88}=\frac{-1232}{-176}
=+7
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(968)+264}{2*-88}=\frac{-704}{-176}
=+4
$