(6+5i)(6-5i)=0

Solution for (6+5i)(6-5i)=0 equation:

Simplifying
(6 + 5i)(6 + -5i) = 0

Multiply (6 + 5i) * (6 + -5i)
(6(6 + -5i) + 5i * (6 + -5i)) = 0
((6 * 6 + -5i * 6) + 5i * (6 + -5i)) = 0
((36 + -30i) + 5i * (6 + -5i)) = 0
(36 + -30i + (6 * 5i + -5i * 5i)) = 0
(36 + -30i + (30i + -25i2)) = 0

Combine like terms: -30i + 30i = 0
(36 + 0 + -25i2) = 0
(36 + -25i2) = 0

Solving
36 + -25i2 = 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 + -25i2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -25i2 = 0 + -36
-25i2 = 0 + -36

Combine like terms: 0 + -36 = -36
-25i2 = -36

Divide each side by '-25'.
i2 = 1.44

Simplifying
i2 = 1.44

Take the square root of each side:
i = {-1.2, 1.2}