(4+9i)(4-9i)=

Solution for (4+9i)(4-9i)= equation:

Simplifying
(4 + 9i)(4 + -9i) = 0

Multiply (4 + 9i) * (4 + -9i)
(4(4 + -9i) + 9i * (4 + -9i)) = 0
((4 * 4 + -9i * 4) + 9i * (4 + -9i)) = 0
((16 + -36i) + 9i * (4 + -9i)) = 0
(16 + -36i + (4 * 9i + -9i * 9i)) = 0
(16 + -36i + (36i + -81i2)) = 0

Combine like terms: -36i + 36i = 0
(16 + 0 + -81i2) = 0
(16 + -81i2) = 0

Solving
16 + -81i2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16 + -81i2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -81i2 = 0 + -16
-81i2 = 0 + -16

Combine like terms: 0 + -16 = -16
-81i2 = -16

Divide each side by '-81'.
i2 = 0.1975308642

Simplifying
i2 = 0.1975308642

Take the square root of each side:
i = {-0.444444444, 0.444444444}