(-4+6i)(2-i)(3+7i)=

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Solution for (-4+6i)(2-i)(3+7i)= equation: 


Simplifying
(-4 + 6i)(2 + -1i)(3 + 7i) = 0

Multiply (-4 + 6i) * (2 + -1i)
(-4(2 + -1i) + 6i * (2 + -1i))(3 + 7i) = 0
((2 * -4 + -1i * -4) + 6i * (2 + -1i))(3 + 7i) = 0
((-8 + 4i) + 6i * (2 + -1i))(3 + 7i) = 0
(-8 + 4i + (2 * 6i + -1i * 6i))(3 + 7i) = 0
(-8 + 4i + (12i + -6i2))(3 + 7i) = 0

Combine like terms: 4i + 12i = 16i
(-8 + 16i + -6i2)(3 + 7i) = 0

Multiply (-8 + 16i + -6i2) * (3 + 7i)
(-8(3 + 7i) + 16i * (3 + 7i) + -6i2 * (3 + 7i)) = 0
((3 * -8 + 7i * -8) + 16i * (3 + 7i) + -6i2 * (3 + 7i)) = 0
((-24 + -56i) + 16i * (3 + 7i) + -6i2 * (3 + 7i)) = 0
(-24 + -56i + (3 * 16i + 7i * 16i) + -6i2 * (3 + 7i)) = 0
(-24 + -56i + (48i + 112i2) + -6i2 * (3 + 7i)) = 0
(-24 + -56i + 48i + 112i2 + (3 * -6i2 + 7i * -6i2)) = 0
(-24 + -56i + 48i + 112i2 + (-18i2 + -42i3)) = 0

Combine like terms: -56i + 48i = -8i
(-24 + -8i + 112i2 + -18i2 + -42i3) = 0

Combine like terms: 112i2 + -18i2 = 94i2
(-24 + -8i + 94i2 + -42i3) = 0

Solving
-24 + -8i + 94i2 + -42i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -4i + 47i2 + -21i3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -4i + 47i2 + -21i3)' equal to zero and attempt to solve:

Simplifying
-12 + -4i + 47i2 + -21i3 = 0

Solving
-12 + -4i + 47i2 + -21i3 = 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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