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

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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}

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