(7+4i)(7-4i)=

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Solution for (7+4i)(7-4i)= equation:


Simplifying
(7 + 4i)(7 + -4i) = 0

Multiply (7 + 4i) * (7 + -4i)
(7(7 + -4i) + 4i * (7 + -4i)) = 0
((7 * 7 + -4i * 7) + 4i * (7 + -4i)) = 0
((49 + -28i) + 4i * (7 + -4i)) = 0
(49 + -28i + (7 * 4i + -4i * 4i)) = 0
(49 + -28i + (28i + -16i2)) = 0

Combine like terms: -28i + 28i = 0
(49 + 0 + -16i2) = 0
(49 + -16i2) = 0

Solving
49 + -16i2 = 0

Solving for variable 'i'.

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

Add '-49' to each side of the equation.
49 + -49 + -16i2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -16i2 = 0 + -49
-16i2 = 0 + -49

Combine like terms: 0 + -49 = -49
-16i2 = -49

Divide each side by '-16'.
i2 = 3.0625

Simplifying
i2 = 3.0625

Take the square root of each side:
i = {-1.75, 1.75}

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