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Simplifying (-2 + -2i)(-4 + -3i)(7 + 8i) = 0 Multiply (-2 + -2i) * (-4 + -3i) (-2(-4 + -3i) + -2i * (-4 + -3i))(7 + 8i) = 0 ((-4 * -2 + -3i * -2) + -2i * (-4 + -3i))(7 + 8i) = 0 ((8 + 6i) + -2i * (-4 + -3i))(7 + 8i) = 0 (8 + 6i + (-4 * -2i + -3i * -2i))(7 + 8i) = 0 (8 + 6i + (8i + 6i2))(7 + 8i) = 0 Combine like terms: 6i + 8i = 14i (8 + 14i + 6i2)(7 + 8i) = 0 Multiply (8 + 14i + 6i2) * (7 + 8i) (8(7 + 8i) + 14i * (7 + 8i) + 6i2 * (7 + 8i)) = 0 ((7 * 8 + 8i * 8) + 14i * (7 + 8i) + 6i2 * (7 + 8i)) = 0 ((56 + 64i) + 14i * (7 + 8i) + 6i2 * (7 + 8i)) = 0 (56 + 64i + (7 * 14i + 8i * 14i) + 6i2 * (7 + 8i)) = 0 (56 + 64i + (98i + 112i2) + 6i2 * (7 + 8i)) = 0 (56 + 64i + 98i + 112i2 + (7 * 6i2 + 8i * 6i2)) = 0 (56 + 64i + 98i + 112i2 + (42i2 + 48i3)) = 0 Combine like terms: 64i + 98i = 162i (56 + 162i + 112i2 + 42i2 + 48i3) = 0 Combine like terms: 112i2 + 42i2 = 154i2 (56 + 162i + 154i2 + 48i3) = 0 Solving 56 + 162i + 154i2 + 48i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 81i + 77i2 + 24i3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(28 + 81i + 77i2 + 24i3)' equal to zero and attempt to solve: Simplifying 28 + 81i + 77i2 + 24i3 = 0 Solving 28 + 81i + 77i2 + 24i3 = 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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