(7-24i)(7+24i)=

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Solution for (7-24i)(7+24i)= equation:


Simplifying
(7 + -24i)(7 + 24i) = 0

Multiply (7 + -24i) * (7 + 24i)
(7(7 + 24i) + -24i * (7 + 24i)) = 0
((7 * 7 + 24i * 7) + -24i * (7 + 24i)) = 0
((49 + 168i) + -24i * (7 + 24i)) = 0
(49 + 168i + (7 * -24i + 24i * -24i)) = 0
(49 + 168i + (-168i + -576i2)) = 0

Combine like terms: 168i + -168i = 0
(49 + 0 + -576i2) = 0
(49 + -576i2) = 0

Solving
49 + -576i2 = 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 + -576i2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -576i2 = 0 + -49
-576i2 = 0 + -49

Combine like terms: 0 + -49 = -49
-576i2 = -49

Divide each side by '-576'.
i2 = 0.08506944444

Simplifying
i2 = 0.08506944444

Take the square root of each side:
i = {-0.291666667, 0.291666667}

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