(-6+5i)(-6+3i)=

Solution for (-6+5i)(-6+3i)= equation:

Simplifying
(-6 + 5i)(-6 + 3i) = 0

Multiply (-6 + 5i) * (-6 + 3i)
(-6(-6 + 3i) + 5i * (-6 + 3i)) = 0
((-6 * -6 + 3i * -6) + 5i * (-6 + 3i)) = 0
((36 + -18i) + 5i * (-6 + 3i)) = 0
(36 + -18i + (-6 * 5i + 3i * 5i)) = 0
(36 + -18i + (-30i + 15i2)) = 0

Combine like terms: -18i + -30i = -48i
(36 + -48i + 15i2) = 0

Solving
36 + -48i + 15i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -16i + 5i2) = 0

Factor a trinomial.
3((6 + -5i)(2 + -1i)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + -5i)' equal to zero and attempt to solve:

Simplifying
6 + -5i = 0

Solving
6 + -5i = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5i = 0 + -6
-5i = 0 + -6

Combine like terms: 0 + -6 = -6
-5i = -6

Divide each side by '-5'.
i = 1.2

Simplifying
i = 1.2
Subproblem 2
Set the factor '(2 + -1i)' equal to zero and attempt to solve:

Simplifying
2 + -1i = 0

Solving
2 + -1i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1i = 0 + -2
-1i = 0 + -2

Combine like terms: 0 + -2 = -2
-1i = -2

Divide each side by '-1'.
i = 2

Simplifying
i = 2
Solution
i = {1.2, 2}