(3-6i)(8+6i)(5-i)=

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Solution for (3-6i)(8+6i)(5-i)= equation: 


Simplifying
(3 + -6i)(8 + 6i)(5 + -1i) = 0

Multiply (3 + -6i) * (8 + 6i)
(3(8 + 6i) + -6i * (8 + 6i))(5 + -1i) = 0
((8 * 3 + 6i * 3) + -6i * (8 + 6i))(5 + -1i) = 0
((24 + 18i) + -6i * (8 + 6i))(5 + -1i) = 0
(24 + 18i + (8 * -6i + 6i * -6i))(5 + -1i) = 0
(24 + 18i + (-48i + -36i2))(5 + -1i) = 0

Combine like terms: 18i + -48i = -30i
(24 + -30i + -36i2)(5 + -1i) = 0

Multiply (24 + -30i + -36i2) * (5 + -1i)
(24(5 + -1i) + -30i * (5 + -1i) + -36i2 * (5 + -1i)) = 0
((5 * 24 + -1i * 24) + -30i * (5 + -1i) + -36i2 * (5 + -1i)) = 0
((120 + -24i) + -30i * (5 + -1i) + -36i2 * (5 + -1i)) = 0
(120 + -24i + (5 * -30i + -1i * -30i) + -36i2 * (5 + -1i)) = 0
(120 + -24i + (-150i + 30i2) + -36i2 * (5 + -1i)) = 0
(120 + -24i + -150i + 30i2 + (5 * -36i2 + -1i * -36i2)) = 0
(120 + -24i + -150i + 30i2 + (-180i2 + 36i3)) = 0

Combine like terms: -24i + -150i = -174i
(120 + -174i + 30i2 + -180i2 + 36i3) = 0

Combine like terms: 30i2 + -180i2 = -150i2
(120 + -174i + -150i2 + 36i3) = 0

Solving
120 + -174i + -150i2 + 36i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6'.
6(20 + -29i + -25i2 + 6i3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(20 + -29i + -25i2 + 6i3)' equal to zero and attempt to solve:

Simplifying
20 + -29i + -25i2 + 6i3 = 0

Solving
20 + -29i + -25i2 + 6i3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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