(3+7i)(3-7i)=0

Solution for (3+7i)(3-7i)=0 equation:

Simplifying
(3 + 7i)(3 + -7i) = 0

Multiply (3 + 7i) * (3 + -7i)
(3(3 + -7i) + 7i * (3 + -7i)) = 0
((3 * 3 + -7i * 3) + 7i * (3 + -7i)) = 0
((9 + -21i) + 7i * (3 + -7i)) = 0
(9 + -21i + (3 * 7i + -7i * 7i)) = 0
(9 + -21i + (21i + -49i2)) = 0

Combine like terms: -21i + 21i = 0
(9 + 0 + -49i2) = 0
(9 + -49i2) = 0

Solving
9 + -49i2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + -49i2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -49i2 = 0 + -9
-49i2 = 0 + -9

Combine like terms: 0 + -9 = -9
-49i2 = -9

Divide each side by '-49'.
i2 = 0.1836734694

Simplifying
i2 = 0.1836734694

Take the square root of each side:
i = {-0.428571429, 0.428571429}