(3-2i)(5+1i)(4-2i)=

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Solution for (3-2i)(5+1i)(4-2i)= equation:


Simplifying
(3 + -2i)(5 + 1i)(4 + -2i) = 0

Multiply (3 + -2i) * (5 + 1i)
(3(5 + 1i) + -2i * (5 + 1i))(4 + -2i) = 0
((5 * 3 + 1i * 3) + -2i * (5 + 1i))(4 + -2i) = 0
((15 + 3i) + -2i * (5 + 1i))(4 + -2i) = 0
(15 + 3i + (5 * -2i + 1i * -2i))(4 + -2i) = 0
(15 + 3i + (-10i + -2i2))(4 + -2i) = 0

Combine like terms: 3i + -10i = -7i
(15 + -7i + -2i2)(4 + -2i) = 0

Multiply (15 + -7i + -2i2) * (4 + -2i)
(15(4 + -2i) + -7i * (4 + -2i) + -2i2 * (4 + -2i)) = 0
((4 * 15 + -2i * 15) + -7i * (4 + -2i) + -2i2 * (4 + -2i)) = 0
((60 + -30i) + -7i * (4 + -2i) + -2i2 * (4 + -2i)) = 0
(60 + -30i + (4 * -7i + -2i * -7i) + -2i2 * (4 + -2i)) = 0
(60 + -30i + (-28i + 14i2) + -2i2 * (4 + -2i)) = 0
(60 + -30i + -28i + 14i2 + (4 * -2i2 + -2i * -2i2)) = 0
(60 + -30i + -28i + 14i2 + (-8i2 + 4i3)) = 0

Combine like terms: -30i + -28i = -58i
(60 + -58i + 14i2 + -8i2 + 4i3) = 0

Combine like terms: 14i2 + -8i2 = 6i2
(60 + -58i + 6i2 + 4i3) = 0

Solving
60 + -58i + 6i2 + 4i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -29i + 3i2 + 2i3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(30 + -29i + 3i2 + 2i3)' equal to zero and attempt to solve: Simplifying 30 + -29i + 3i2 + 2i3 = 0 Solving 30 + -29i + 3i2 + 2i3 = 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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