(11+2i)(-7-12i)=

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Solution for (11+2i)(-7-12i)= equation: 


Simplifying
(11 + 2i)(-7 + -12i) = 0

Multiply (11 + 2i) * (-7 + -12i)
(11(-7 + -12i) + 2i * (-7 + -12i)) = 0
((-7 * 11 + -12i * 11) + 2i * (-7 + -12i)) = 0
((-77 + -132i) + 2i * (-7 + -12i)) = 0
(-77 + -132i + (-7 * 2i + -12i * 2i)) = 0
(-77 + -132i + (-14i + -24i2)) = 0

Combine like terms: -132i + -14i = -146i
(-77 + -146i + -24i2) = 0

Solving
-77 + -146i + -24i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(77 + 146i + 24i2) = 0

Factor a trinomial.
-1((11 + 2i)(7 + 12i)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 2i)' equal to zero and attempt to solve:

Simplifying
11 + 2i = 0

Solving
11 + 2i = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2i = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2i = 0 + -11
2i = 0 + -11

Combine like terms: 0 + -11 = -11
2i = -11

Divide each side by '2'.
i = -5.5

Simplifying
i = -5.5

Subproblem 2
Set the factor '(7 + 12i)' equal to zero and attempt to solve:

Simplifying
7 + 12i = 0

Solving
7 + 12i = 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 + 12i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12i = 0 + -7
12i = 0 + -7

Combine like terms: 0 + -7 = -7
12i = -7

Divide each side by '12'.
i = -0.5833333333

Simplifying
i = -0.5833333333
Solution
i = {-5.5, -0.5833333333}

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