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Simplifying (-12 + i)(8 + -4i)(-1 + 6i) = 0 Multiply (-12 + i) * (8 + -4i) (-12(8 + -4i) + i(8 + -4i))(-1 + 6i) = 0 ((8 * -12 + -4i * -12) + i(8 + -4i))(-1 + 6i) = 0 ((-96 + 48i) + i(8 + -4i))(-1 + 6i) = 0 (-96 + 48i + (8 * i + -4i * i))(-1 + 6i) = 0 (-96 + 48i + (8i + -4i2))(-1 + 6i) = 0 Combine like terms: 48i + 8i = 56i (-96 + 56i + -4i2)(-1 + 6i) = 0 Multiply (-96 + 56i + -4i2) * (-1 + 6i) (-96(-1 + 6i) + 56i * (-1 + 6i) + -4i2 * (-1 + 6i)) = 0 ((-1 * -96 + 6i * -96) + 56i * (-1 + 6i) + -4i2 * (-1 + 6i)) = 0 ((96 + -576i) + 56i * (-1 + 6i) + -4i2 * (-1 + 6i)) = 0 (96 + -576i + (-1 * 56i + 6i * 56i) + -4i2 * (-1 + 6i)) = 0 (96 + -576i + (-56i + 336i2) + -4i2 * (-1 + 6i)) = 0 (96 + -576i + -56i + 336i2 + (-1 * -4i2 + 6i * -4i2)) = 0 (96 + -576i + -56i + 336i2 + (4i2 + -24i3)) = 0 Combine like terms: -576i + -56i = -632i (96 + -632i + 336i2 + 4i2 + -24i3) = 0 Combine like terms: 336i2 + 4i2 = 340i2 (96 + -632i + 340i2 + -24i3) = 0 Solving 96 + -632i + 340i2 + -24i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -158i + 85i2 + -6i3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(24 + -158i + 85i2 + -6i3)' equal to zero and attempt to solve: Simplifying 24 + -158i + 85i2 + -6i3 = 0 Solving 24 + -158i + 85i2 + -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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