(9i+6)(9i-6)=

Solution for (9i+6)(9i-6)= equation:

Simplifying
(9i + 6)(9i + -6) = 0

Reorder the terms:
(6 + 9i)(9i + -6) = 0

Reorder the terms:
(6 + 9i)(-6 + 9i) = 0

Multiply (6 + 9i) * (-6 + 9i)
(6(-6 + 9i) + 9i * (-6 + 9i)) = 0
((-6 * 6 + 9i * 6) + 9i * (-6 + 9i)) = 0
((-36 + 54i) + 9i * (-6 + 9i)) = 0
(-36 + 54i + (-6 * 9i + 9i * 9i)) = 0
(-36 + 54i + (-54i + 81i2)) = 0

Combine like terms: 54i + -54i = 0
(-36 + 0 + 81i2) = 0
(-36 + 81i2) = 0

Solving
-36 + 81i2 = 0

Solving for variable 'i'.

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

Add '36' to each side of the equation.
-36 + 36 + 81i2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 81i2 = 0 + 36
81i2 = 0 + 36

Combine like terms: 0 + 36 = 36
81i2 = 36

Divide each side by '81'.
i2 = 0.4444444444

Simplifying
i2 = 0.4444444444

Take the square root of each side:
i = {-0.666666667, 0.666666667}