(6+7i)(6-7i)=0

Solution for (6+7i)(6-7i)=0 equation:

Simplifying
(6 + 7i)(6 + -7i) = 0

Multiply (6 + 7i) * (6 + -7i)
(6(6 + -7i) + 7i * (6 + -7i)) = 0
((6 * 6 + -7i * 6) + 7i * (6 + -7i)) = 0
((36 + -42i) + 7i * (6 + -7i)) = 0
(36 + -42i + (6 * 7i + -7i * 7i)) = 0
(36 + -42i + (42i + -49i2)) = 0

Combine like terms: -42i + 42i = 0
(36 + 0 + -49i2) = 0
(36 + -49i2) = 0

Solving
36 + -49i2 = 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 + -49i2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -49i2 = 0 + -36
-49i2 = 0 + -36

Combine like terms: 0 + -36 = -36
-49i2 = -36

Divide each side by '-49'.
i2 = 0.7346938776

Simplifying
i2 = 0.7346938776

Take the square root of each side:
i = {-0.857142857, 0.857142857}