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

Solution for (6-5i)(6+5i)= 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}