(4-3I)(2+3I)=

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Solution for (4-3I)(2+3I)= equation: 


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

Multiply (4 + -3I) * (2 + 3I)
(4(2 + 3I) + -3I * (2 + 3I)) = 0
((2 * 4 + 3I * 4) + -3I * (2 + 3I)) = 0
((8 + 12I) + -3I * (2 + 3I)) = 0
(8 + 12I + (2 * -3I + 3I * -3I)) = 0
(8 + 12I + (-6I + -9I2)) = 0

Combine like terms: 12I + -6I = 6I
(8 + 6I + -9I2) = 0

Solving
8 + 6I + -9I2 = 0

Solving for variable 'I'.

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


Subproblem 1
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

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 = {1.333333333, -0.6666666667}

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