(6-4i)(-1+6i)=

Solution for (6-4i)(-1+6i)= equation:

Simplifying
(6 + -4i)(-1 + 6i) = 0

Multiply (6 + -4i) * (-1 + 6i)
(6(-1 + 6i) + -4i * (-1 + 6i)) = 0
((-1 * 6 + 6i * 6) + -4i * (-1 + 6i)) = 0
((-6 + 36i) + -4i * (-1 + 6i)) = 0
(-6 + 36i + (-1 * -4i + 6i * -4i)) = 0
(-6 + 36i + (4i + -24i2)) = 0

Combine like terms: 36i + 4i = 40i
(-6 + 40i + -24i2) = 0

Solving
-6 + 40i + -24i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 20i + -12i2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + 2i)' equal to zero and attempt to solve:

Simplifying
-3 + 2i = 0

Solving
-3 + 2i = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2i = 0 + 3
2i = 0 + 3

Combine like terms: 0 + 3 = 3
2i = 3

Divide each side by '2'.
i = 1.5

Simplifying
i = 1.5
Subproblem 2
Set the factor '(1 + -6i)' equal to zero and attempt to solve:

Simplifying
1 + -6i = 0

Solving
1 + -6i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6i = 0 + -1
-6i = 0 + -1

Combine like terms: 0 + -1 = -1
-6i = -1

Divide each side by '-6'.
i = 0.1666666667

Simplifying
i = 0.1666666667
Solution
i = {1.5, 0.1666666667}