(9i-3)(9i+3)=

Solution for (9i-3)(9i+3)= equation:

Simplifying
(9i + -3)(9i + 3) = 0

Reorder the terms:
(-3 + 9i)(9i + 3) = 0

Reorder the terms:
(-3 + 9i)(3 + 9i) = 0

Multiply (-3 + 9i) * (3 + 9i)
(-3(3 + 9i) + 9i * (3 + 9i)) = 0
((3 * -3 + 9i * -3) + 9i * (3 + 9i)) = 0
((-9 + -27i) + 9i * (3 + 9i)) = 0
(-9 + -27i + (3 * 9i + 9i * 9i)) = 0
(-9 + -27i + (27i + 81i2)) = 0

Combine like terms: -27i + 27i = 0
(-9 + 0 + 81i2) = 0
(-9 + 81i2) = 0

Solving
-9 + 81i2 = 0

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 + 81i2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 81i2 = 0 + 9
81i2 = 0 + 9

Combine like terms: 0 + 9 = 9
81i2 = 9

Divide each side by '81'.
i2 = 0.1111111111

Simplifying
i2 = 0.1111111111

Take the square root of each side:
i = {-0.333333333, 0.333333333}