-(5-6i)(5+6i)=

Solution for -(5-6i)(5+6i)= equation:

Simplifying
-1(5 + -6i)(5 + 6i) = 0

Multiply (5 + -6i) * (5 + 6i)
-1(5(5 + 6i) + -6i * (5 + 6i)) = 0
-1((5 * 5 + 6i * 5) + -6i * (5 + 6i)) = 0
-1((25 + 30i) + -6i * (5 + 6i)) = 0
-1(25 + 30i + (5 * -6i + 6i * -6i)) = 0
-1(25 + 30i + (-30i + -36i2)) = 0

Combine like terms: 30i + -30i = 0
-1(25 + 0 + -36i2) = 0
-1(25 + -36i2) = 0
(25 * -1 + -36i2 * -1) = 0
(-25 + 36i2) = 0

Solving
-25 + 36i2 = 0

Solving for variable 'i'.

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

Add '25' to each side of the equation.
-25 + 25 + 36i2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 36i2 = 0 + 25
36i2 = 0 + 25

Combine like terms: 0 + 25 = 25
36i2 = 25

Divide each side by '36'.
i2 = 0.6944444444

Simplifying
i2 = 0.6944444444

Take the square root of each side:
i = {-0.833333333, 0.833333333}