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Simplifying (-1 + -3i)(2 + 2i)(1 + -2i) = 0 Multiply (-1 + -3i) * (2 + 2i) (-1(2 + 2i) + -3i * (2 + 2i))(1 + -2i) = 0 ((2 * -1 + 2i * -1) + -3i * (2 + 2i))(1 + -2i) = 0 ((-2 + -2i) + -3i * (2 + 2i))(1 + -2i) = 0 (-2 + -2i + (2 * -3i + 2i * -3i))(1 + -2i) = 0 (-2 + -2i + (-6i + -6i2))(1 + -2i) = 0 Combine like terms: -2i + -6i = -8i (-2 + -8i + -6i2)(1 + -2i) = 0 Multiply (-2 + -8i + -6i2) * (1 + -2i) (-2(1 + -2i) + -8i * (1 + -2i) + -6i2 * (1 + -2i)) = 0 ((1 * -2 + -2i * -2) + -8i * (1 + -2i) + -6i2 * (1 + -2i)) = 0 ((-2 + 4i) + -8i * (1 + -2i) + -6i2 * (1 + -2i)) = 0 (-2 + 4i + (1 * -8i + -2i * -8i) + -6i2 * (1 + -2i)) = 0 (-2 + 4i + (-8i + 16i2) + -6i2 * (1 + -2i)) = 0 (-2 + 4i + -8i + 16i2 + (1 * -6i2 + -2i * -6i2)) = 0 (-2 + 4i + -8i + 16i2 + (-6i2 + 12i3)) = 0 Combine like terms: 4i + -8i = -4i (-2 + -4i + 16i2 + -6i2 + 12i3) = 0 Combine like terms: 16i2 + -6i2 = 10i2 (-2 + -4i + 10i2 + 12i3) = 0 Solving -2 + -4i + 10i2 + 12i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -2i + 5i2 + 6i3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2i + 5i2 + 6i3)' equal to zero and attempt to solve: Simplifying -1 + -2i + 5i2 + 6i3 = 0 Solving -1 + -2i + 5i2 + 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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