(-4-3i)(4-3i)=

Solution for (-4-3i)(4-3i)= equation:

Simplifying
(-4 + -3i)(4 + -3i) = 0

Multiply (-4 + -3i) * (4 + -3i)
(-4(4 + -3i) + -3i * (4 + -3i)) = 0
((4 * -4 + -3i * -4) + -3i * (4 + -3i)) = 0
((-16 + 12i) + -3i * (4 + -3i)) = 0
(-16 + 12i + (4 * -3i + -3i * -3i)) = 0
(-16 + 12i + (-12i + 9i2)) = 0

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

Solving
-16 + 9i2 = 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 + 9i2 = 0 + 16

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

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

Divide each side by '9'.
i2 = 1.777777778

Simplifying
i2 = 1.777777778

Take the square root of each side:
i = {-1.333333333, 1.333333333}