(2+7i)(2-7i)=0

Solution for (2+7i)(2-7i)=0 equation:

Simplifying
(2 + 7i)(2 + -7i) = 0

Multiply (2 + 7i) * (2 + -7i)
(2(2 + -7i) + 7i * (2 + -7i)) = 0
((2 * 2 + -7i * 2) + 7i * (2 + -7i)) = 0
((4 + -14i) + 7i * (2 + -7i)) = 0
(4 + -14i + (2 * 7i + -7i * 7i)) = 0
(4 + -14i + (14i + -49i2)) = 0

Combine like terms: -14i + 14i = 0
(4 + 0 + -49i2) = 0
(4 + -49i2) = 0

Solving
4 + -49i2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -49i2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -49i2 = 0 + -4
-49i2 = 0 + -4

Combine like terms: 0 + -4 = -4
-49i2 = -4

Divide each side by '-49'.
i2 = 0.08163265306

Simplifying
i2 = 0.08163265306

Take the square root of each side:
i = {-0.285714286, 0.285714286}