(6+2i)(1-3i)(1+3i)=

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Solution for (6+2i)(1-3i)(1+3i)= equation:


Simplifying
(6 + 2i)(1 + -3i)(1 + 3i) = 0

Multiply (6 + 2i) * (1 + -3i)
(6(1 + -3i) + 2i * (1 + -3i))(1 + 3i) = 0
((1 * 6 + -3i * 6) + 2i * (1 + -3i))(1 + 3i) = 0
((6 + -18i) + 2i * (1 + -3i))(1 + 3i) = 0
(6 + -18i + (1 * 2i + -3i * 2i))(1 + 3i) = 0
(6 + -18i + (2i + -6i2))(1 + 3i) = 0

Combine like terms: -18i + 2i = -16i
(6 + -16i + -6i2)(1 + 3i) = 0

Multiply (6 + -16i + -6i2) * (1 + 3i)
(6(1 + 3i) + -16i * (1 + 3i) + -6i2 * (1 + 3i)) = 0
((1 * 6 + 3i * 6) + -16i * (1 + 3i) + -6i2 * (1 + 3i)) = 0
((6 + 18i) + -16i * (1 + 3i) + -6i2 * (1 + 3i)) = 0
(6 + 18i + (1 * -16i + 3i * -16i) + -6i2 * (1 + 3i)) = 0
(6 + 18i + (-16i + -48i2) + -6i2 * (1 + 3i)) = 0
(6 + 18i + -16i + -48i2 + (1 * -6i2 + 3i * -6i2)) = 0
(6 + 18i + -16i + -48i2 + (-6i2 + -18i3)) = 0

Combine like terms: 18i + -16i = 2i
(6 + 2i + -48i2 + -6i2 + -18i3) = 0

Combine like terms: -48i2 + -6i2 = -54i2
(6 + 2i + -54i2 + -18i3) = 0

Solving
6 + 2i + -54i2 + -18i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + i + -27i2 + -9i3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + i + -27i2 + -9i3)' equal to zero and attempt to solve: Simplifying 3 + i + -27i2 + -9i3 = 0 Solving 3 + i + -27i2 + -9i3 = 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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