(8+7i)(8-7i)=

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Solution for (8+7i)(8-7i)= equation: 


Simplifying
(8 + 7i)(8 + -7i) = 0

Multiply (8 + 7i) * (8 + -7i)
(8(8 + -7i) + 7i * (8 + -7i)) = 0
((8 * 8 + -7i * 8) + 7i * (8 + -7i)) = 0
((64 + -56i) + 7i * (8 + -7i)) = 0
(64 + -56i + (8 * 7i + -7i * 7i)) = 0
(64 + -56i + (56i + -49i2)) = 0

Combine like terms: -56i + 56i = 0
(64 + 0 + -49i2) = 0
(64 + -49i2) = 0

Solving
64 + -49i2 = 0

Solving for variable 'i'.

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

Add '-64' to each side of the equation.
64 + -64 + -49i2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -49i2 = 0 + -64
-49i2 = 0 + -64

Combine like terms: 0 + -64 = -64
-49i2 = -64

Divide each side by '-49'.
i2 = 1.306122449

Simplifying
i2 = 1.306122449

Take the square root of each side:
i = {-1.142857143, 1.142857143}

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