(10-7i)(10+7i)=

Solution for (10-7i)(10+7i)= equation:

Simplifying
(10 + -7i)(10 + 7i) = 0

Multiply (10 + -7i) * (10 + 7i)
(10(10 + 7i) + -7i * (10 + 7i)) = 0
((10 * 10 + 7i * 10) + -7i * (10 + 7i)) = 0
((100 + 70i) + -7i * (10 + 7i)) = 0
(100 + 70i + (10 * -7i + 7i * -7i)) = 0
(100 + 70i + (-70i + -49i2)) = 0

Combine like terms: 70i + -70i = 0
(100 + 0 + -49i2) = 0
(100 + -49i2) = 0

Solving
100 + -49i2 = 0

Solving for variable 'i'.

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

Add '-100' to each side of the equation.
100 + -100 + -49i2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -49i2 = 0 + -100
-49i2 = 0 + -100

Combine like terms: 0 + -100 = -100
-49i2 = -100

Divide each side by '-49'.
i2 = 2.040816327

Simplifying
i2 = 2.040816327

Take the square root of each side:
i = {-1.428571429, 1.428571429}