(6+i)(6-i)=0

Solution for (6+i)(6-i)=0 equation:

(6+i)(6-i)=0

We add all the numbers together, and all the variables

(i+6)(-1i+6)=0

We multiply parentheses ..

(-1i^2+6i-6i+36)=0

We get rid of parentheses

-1i^2+6i-6i+36=0

We add all the numbers together, and all the variables

-1i^2+36=0

a = -1; b = 0; c = +36;
Δ = b2-4ac
Δ = 02-4·(-1)·36
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-1}=\frac{-12}{-2}
=+6
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-1}=\frac{12}{-2}
=-6
$