(8-3i)(-6-10i)=

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Solution for (8-3i)(-6-10i)= equation: 


Simplifying
(8 + -3i)(-6 + -10i) = 0

Multiply (8 + -3i) * (-6 + -10i)
(8(-6 + -10i) + -3i * (-6 + -10i)) = 0
((-6 * 8 + -10i * 8) + -3i * (-6 + -10i)) = 0
((-48 + -80i) + -3i * (-6 + -10i)) = 0
(-48 + -80i + (-6 * -3i + -10i * -3i)) = 0
(-48 + -80i + (18i + 30i2)) = 0

Combine like terms: -80i + 18i = -62i
(-48 + -62i + 30i2) = 0

Solving
-48 + -62i + 30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -31i + 15i2) = 0

Factor a trinomial.
2((-3 + -5i)(8 + -3i)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -5i)' equal to zero and attempt to solve:

Simplifying
-3 + -5i = 0

Solving
-3 + -5i = 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 + -5i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5i = 0 + 3
-5i = 0 + 3

Combine like terms: 0 + 3 = 3
-5i = 3

Divide each side by '-5'.
i = -0.6

Simplifying
i = -0.6

Subproblem 2
Set the factor '(8 + -3i)' equal to zero and attempt to solve:

Simplifying
8 + -3i = 0

Solving
8 + -3i = 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 + -3i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3i = 0 + -8
-3i = 0 + -8

Combine like terms: 0 + -8 = -8
-3i = -8

Divide each side by '-3'.
i = 2.666666667

Simplifying
i = 2.666666667
Solution
i = {-0.6, 2.666666667}

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