(5+7i)(5-7i)=

Solution for (5+7i)(5-7i)= equation:

Simplifying
(5 + 7i)(5 + -7i) = 0

Multiply (5 + 7i) * (5 + -7i)
(5(5 + -7i) + 7i * (5 + -7i)) = 0
((5 * 5 + -7i * 5) + 7i * (5 + -7i)) = 0
((25 + -35i) + 7i * (5 + -7i)) = 0
(25 + -35i + (5 * 7i + -7i * 7i)) = 0
(25 + -35i + (35i + -49i2)) = 0

Combine like terms: -35i + 35i = 0
(25 + 0 + -49i2) = 0
(25 + -49i2) = 0

Solving
25 + -49i2 = 0

Solving for variable 'i'.

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

Add '-25' to each side of the equation.
25 + -25 + -49i2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -49i2 = 0 + -25
-49i2 = 0 + -25

Combine like terms: 0 + -25 = -25
-49i2 = -25

Divide each side by '-49'.
i2 = 0.5102040816

Simplifying
i2 = 0.5102040816

Take the square root of each side:
i = {-0.714285714, 0.714285714}