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

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Solution for (4-3i)(2-2i)=0 equation: 


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

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

Combine like terms: -8i + -6i = -14i
(8 + -14i + 6i2) = 0

Solving
8 + -14i + 6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -7i + 3i2) = 0

Factor a trinomial.
2((1 + -1i)(4 + -3i)) = 0

Ignore the factor 2.

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 '(4 + -3i)' equal to zero and attempt to solve:

Simplifying
4 + -3i = 0

Solving
4 + -3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3i = 0 + -4
-3i = 0 + -4

Combine like terms: 0 + -4 = -4
-3i = -4

Divide each side by '-3'.
i = 1.333333333

Simplifying
i = 1.333333333
Solution
i = {1, 1.333333333}

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