(-8+4i)(-4+4i)=

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Solution for (-8+4i)(-4+4i)= equation: 


Simplifying
(-8 + 4i)(-4 + 4i) = 0

Multiply (-8 + 4i) * (-4 + 4i)
(-8(-4 + 4i) + 4i * (-4 + 4i)) = 0
((-4 * -8 + 4i * -8) + 4i * (-4 + 4i)) = 0
((32 + -32i) + 4i * (-4 + 4i)) = 0
(32 + -32i + (-4 * 4i + 4i * 4i)) = 0
(32 + -32i + (-16i + 16i2)) = 0

Combine like terms: -32i + -16i = -48i
(32 + -48i + 16i2) = 0

Solving
32 + -48i + 16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '16'.
16(2 + -3i + i2) = 0

Factor a trinomial.
16((1 + -1i)(2 + -1i)) = 0

Ignore the factor 16.

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

Simplifying
1 + -1i = 0

Solving
1 + -1i = 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 + -1i = 0 + -1

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

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

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

Simplifying
i = 1

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}

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