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Simplifying (5 + 3i)(2 + -4i)(3 + -2i) = 0 Multiply (5 + 3i) * (2 + -4i) (5(2 + -4i) + 3i * (2 + -4i))(3 + -2i) = 0 ((2 * 5 + -4i * 5) + 3i * (2 + -4i))(3 + -2i) = 0 ((10 + -20i) + 3i * (2 + -4i))(3 + -2i) = 0 (10 + -20i + (2 * 3i + -4i * 3i))(3 + -2i) = 0 (10 + -20i + (6i + -12i2))(3 + -2i) = 0 Combine like terms: -20i + 6i = -14i (10 + -14i + -12i2)(3 + -2i) = 0 Multiply (10 + -14i + -12i2) * (3 + -2i) (10(3 + -2i) + -14i * (3 + -2i) + -12i2 * (3 + -2i)) = 0 ((3 * 10 + -2i * 10) + -14i * (3 + -2i) + -12i2 * (3 + -2i)) = 0 ((30 + -20i) + -14i * (3 + -2i) + -12i2 * (3 + -2i)) = 0 (30 + -20i + (3 * -14i + -2i * -14i) + -12i2 * (3 + -2i)) = 0 (30 + -20i + (-42i + 28i2) + -12i2 * (3 + -2i)) = 0 (30 + -20i + -42i + 28i2 + (3 * -12i2 + -2i * -12i2)) = 0 (30 + -20i + -42i + 28i2 + (-36i2 + 24i3)) = 0 Combine like terms: -20i + -42i = -62i (30 + -62i + 28i2 + -36i2 + 24i3) = 0 Combine like terms: 28i2 + -36i2 = -8i2 (30 + -62i + -8i2 + 24i3) = 0 Solving 30 + -62i + -8i2 + 24i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -31i + -4i2 + 12i3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -31i + -4i2 + 12i3)' equal to zero and attempt to solve: Simplifying 15 + -31i + -4i2 + 12i3 = 0 Solving 15 + -31i + -4i2 + 12i3 = 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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