(3-4i)*(3+4i)=25

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Solution for (3-4i)*(3+4i)=25 equation:


Simplifying
(3 + -4i)(3 + 4i) = 25

Multiply (3 + -4i) * (3 + 4i)
(3(3 + 4i) + -4i * (3 + 4i)) = 25
((3 * 3 + 4i * 3) + -4i * (3 + 4i)) = 25
((9 + 12i) + -4i * (3 + 4i)) = 25
(9 + 12i + (3 * -4i + 4i * -4i)) = 25
(9 + 12i + (-12i + -16i2)) = 25

Combine like terms: 12i + -12i = 0
(9 + 0 + -16i2) = 25
(9 + -16i2) = 25

Solving
9 + -16i2 = 25

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + -16i2 = 25 + -9

Combine like terms: 9 + -9 = 0
0 + -16i2 = 25 + -9
-16i2 = 25 + -9

Combine like terms: 25 + -9 = 16
-16i2 = 16

Divide each side by '-16'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.

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