(x+4)(x-6565)=59595

Solution for (x+4)(x-6565)=59595 equation:

(x+4)(x-6565)=59595

We move all terms to the left:

(x+4)(x-6565)-(59595)=0

We multiply parentheses ..

(+x^2-6565x+4x-26260)-59595=0

We get rid of parentheses

x^2-6565x+4x-26260-59595=0

We add all the numbers together, and all the variables

x^2-6561x-85855=0

a = 1; b = -6561; c = -85855;
Δ = b2-4ac
Δ = -65612-4·1·(-85855)
Δ = 43390141
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6561)-\sqrt{43390141}}{2*1}=\frac{6561-\sqrt{43390141}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6561)+\sqrt{43390141}}{2*1}=\frac{6561+\sqrt{43390141}}{2}
$