(-4-2i)(2-3i)=

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Solution for (-4-2i)(2-3i)= equation: 


Simplifying
(-4 + -2i)(2 + -3i) = 0

Multiply (-4 + -2i) * (2 + -3i)
(-4(2 + -3i) + -2i * (2 + -3i)) = 0
((2 * -4 + -3i * -4) + -2i * (2 + -3i)) = 0
((-8 + 12i) + -2i * (2 + -3i)) = 0
(-8 + 12i + (2 * -2i + -3i * -2i)) = 0
(-8 + 12i + (-4i + 6i2)) = 0

Combine like terms: 12i + -4i = 8i
(-8 + 8i + 6i2) = 0

Solving
-8 + 8i + 6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4i + 3i2) = 0

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

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
2 + -3i = 0

Solving
2 + -3i = 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 + -3i = 0 + -2

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

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

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Solution
i = {-2, 0.6666666667}

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