(3+2i)(7-6i)=

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Solution for (3+2i)(7-6i)= equation: 


Simplifying
(3 + 2i)(7 + -6i) = 0

Multiply (3 + 2i) * (7 + -6i)
(3(7 + -6i) + 2i * (7 + -6i)) = 0
((7 * 3 + -6i * 3) + 2i * (7 + -6i)) = 0
((21 + -18i) + 2i * (7 + -6i)) = 0
(21 + -18i + (7 * 2i + -6i * 2i)) = 0
(21 + -18i + (14i + -12i2)) = 0

Combine like terms: -18i + 14i = -4i
(21 + -4i + -12i2) = 0

Solving
21 + -4i + -12i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(7 + -6i)(3 + 2i) = 0


Subproblem 1
Set the factor '(7 + -6i)' equal to zero and attempt to solve:

Simplifying
7 + -6i = 0

Solving
7 + -6i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6i = 0 + -7
-6i = 0 + -7

Combine like terms: 0 + -7 = -7
-6i = -7

Divide each side by '-6'.
i = 1.166666667

Simplifying
i = 1.166666667

Subproblem 2
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
Solution
i = {1.166666667, -1.5}

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