(6+i)(6-i)=

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

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

Multiply (6 + i) * (6 + -1i)
(6(6 + -1i) + i(6 + -1i)) = 0
((6 * 6 + -1i * 6) + i(6 + -1i)) = 0
((36 + -6i) + i(6 + -1i)) = 0
(36 + -6i + (6 * i + -1i * i)) = 0
(36 + -6i + (6i + -1i2)) = 0

Combine like terms: -6i + 6i = 0
(36 + 0 + -1i2) = 0
(36 + -1i2) = 0

Solving
36 + -1i2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + -1i2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1i2 = 0 + -36
-1i2 = 0 + -36

Combine like terms: 0 + -36 = -36
-1i2 = -36

Divide each side by '-1'.
i2 = 36

Simplifying
i2 = 36

Take the square root of each side:
i = {-6, 6}