(8+11i)(7-11i)=0

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Solution for (8+11i)(7-11i)=0 equation: 


Simplifying
(8 + 11i)(7 + -11i) = 0

Multiply (8 + 11i) * (7 + -11i)
(8(7 + -11i) + 11i * (7 + -11i)) = 0
((7 * 8 + -11i * 8) + 11i * (7 + -11i)) = 0
((56 + -88i) + 11i * (7 + -11i)) = 0
(56 + -88i + (7 * 11i + -11i * 11i)) = 0
(56 + -88i + (77i + -121i2)) = 0

Combine like terms: -88i + 77i = -11i
(56 + -11i + -121i2) = 0

Solving
56 + -11i + -121i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(7 + -11i)(8 + 11i) = 0


Subproblem 1
Set the factor '(7 + -11i)' equal to zero and attempt to solve:

Simplifying
7 + -11i = 0

Solving
7 + -11i = 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 + -11i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -11i = 0 + -7
-11i = 0 + -7

Combine like terms: 0 + -7 = -7
-11i = -7

Divide each side by '-11'.
i = 0.6363636364

Simplifying
i = 0.6363636364

Subproblem 2
Set the factor '(8 + 11i)' equal to zero and attempt to solve:

Simplifying
8 + 11i = 0

Solving
8 + 11i = 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 + 11i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 11i = 0 + -8
11i = 0 + -8

Combine like terms: 0 + -8 = -8
11i = -8

Divide each side by '11'.
i = -0.7272727273

Simplifying
i = -0.7272727273
Solution
i = {0.6363636364, -0.7272727273}

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