(5-2i)(2+6i)(6+1i)=

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Solution for (5-2i)(2+6i)(6+1i)= equation: 


Simplifying
(5 + -2i)(2 + 6i)(6 + 1i) = 0

Multiply (5 + -2i) * (2 + 6i)
(5(2 + 6i) + -2i * (2 + 6i))(6 + 1i) = 0
((2 * 5 + 6i * 5) + -2i * (2 + 6i))(6 + 1i) = 0
((10 + 30i) + -2i * (2 + 6i))(6 + 1i) = 0
(10 + 30i + (2 * -2i + 6i * -2i))(6 + 1i) = 0
(10 + 30i + (-4i + -12i2))(6 + 1i) = 0

Combine like terms: 30i + -4i = 26i
(10 + 26i + -12i2)(6 + 1i) = 0

Multiply (10 + 26i + -12i2) * (6 + 1i)
(10(6 + 1i) + 26i * (6 + 1i) + -12i2 * (6 + 1i)) = 0
((6 * 10 + 1i * 10) + 26i * (6 + 1i) + -12i2 * (6 + 1i)) = 0
((60 + 10i) + 26i * (6 + 1i) + -12i2 * (6 + 1i)) = 0
(60 + 10i + (6 * 26i + 1i * 26i) + -12i2 * (6 + 1i)) = 0
(60 + 10i + (156i + 26i2) + -12i2 * (6 + 1i)) = 0
(60 + 10i + 156i + 26i2 + (6 * -12i2 + 1i * -12i2)) = 0
(60 + 10i + 156i + 26i2 + (-72i2 + -12i3)) = 0

Combine like terms: 10i + 156i = 166i
(60 + 166i + 26i2 + -72i2 + -12i3) = 0

Combine like terms: 26i2 + -72i2 = -46i2
(60 + 166i + -46i2 + -12i3) = 0

Solving
60 + 166i + -46i2 + -12i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 83i + -23i2 + -6i3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(30 + 83i + -23i2 + -6i3)' equal to zero and attempt to solve:

Simplifying
30 + 83i + -23i2 + -6i3 = 0

Solving
30 + 83i + -23i2 + -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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