(8+15i)(11+i)=0

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Solution for (8+15i)(11+i)=0 equation: 


Simplifying
(8 + 15i)(11 + i) = 0

Multiply (8 + 15i) * (11 + i)
(8(11 + i) + 15i * (11 + i)) = 0
((11 * 8 + i * 8) + 15i * (11 + i)) = 0
((88 + 8i) + 15i * (11 + i)) = 0
(88 + 8i + (11 * 15i + i * 15i)) = 0
(88 + 8i + (165i + 15i2)) = 0

Combine like terms: 8i + 165i = 173i
(88 + 173i + 15i2) = 0

Solving
88 + 173i + 15i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(11 + i)(8 + 15i) = 0


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

Simplifying
11 + i = 0

Solving
11 + i = 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 + i = 0 + -11

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

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

Simplifying
i = -11

Subproblem 2
Set the factor '(8 + 15i)' equal to zero and attempt to solve:

Simplifying
8 + 15i = 0

Solving
8 + 15i = 0

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

Add '-8' to each side of the equation.
8 + -8 + 15i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 15i = 0 + -8
15i = 0 + -8

Combine like terms: 0 + -8 = -8
15i = -8

Divide each side by '15'.
i = -0.5333333333

Simplifying
i = -0.5333333333
Solution
i = {-11, -0.5333333333}

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