(-3+9i)(8+11i)=

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Solution for (-3+9i)(8+11i)= equation: 


Simplifying
(-3 + 9i)(8 + 11i) = 0

Multiply (-3 + 9i) * (8 + 11i)
(-3(8 + 11i) + 9i * (8 + 11i)) = 0
((8 * -3 + 11i * -3) + 9i * (8 + 11i)) = 0
((-24 + -33i) + 9i * (8 + 11i)) = 0
(-24 + -33i + (8 * 9i + 11i * 9i)) = 0
(-24 + -33i + (72i + 99i2)) = 0

Combine like terms: -33i + 72i = 39i
(-24 + 39i + 99i2) = 0

Solving
-24 + 39i + 99i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 13i + 33i2) = 0

Factor a trinomial.
3((-8 + -11i)(1 + -3i)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -3i)' equal to zero and attempt to solve:

Simplifying
1 + -3i = 0

Solving
1 + -3i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3i = 0 + -1
-3i = 0 + -1

Combine like terms: 0 + -1 = -1
-3i = -1

Divide each side by '-3'.
i = 0.3333333333

Simplifying
i = 0.3333333333
Solution
i = {-0.7272727273, 0.3333333333}

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