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Simplifying (4 + i)(4 + -1i)(6 + 2i) = 0 Multiply (4 + i) * (4 + -1i) (4(4 + -1i) + i(4 + -1i))(6 + 2i) = 0 ((4 * 4 + -1i * 4) + i(4 + -1i))(6 + 2i) = 0 ((16 + -4i) + i(4 + -1i))(6 + 2i) = 0 (16 + -4i + (4 * i + -1i * i))(6 + 2i) = 0 (16 + -4i + (4i + -1i2))(6 + 2i) = 0 Combine like terms: -4i + 4i = 0 (16 + 0 + -1i2)(6 + 2i) = 0 (16 + -1i2)(6 + 2i) = 0 Multiply (16 + -1i2) * (6 + 2i) (16(6 + 2i) + -1i2 * (6 + 2i)) = 0 ((6 * 16 + 2i * 16) + -1i2 * (6 + 2i)) = 0 ((96 + 32i) + -1i2 * (6 + 2i)) = 0 (96 + 32i + (6 * -1i2 + 2i * -1i2)) = 0 (96 + 32i + (-6i2 + -2i3)) = 0 (96 + 32i + -6i2 + -2i3) = 0 Solving 96 + 32i + -6i2 + -2i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2'. 2(48 + 16i + -3i2 + -1i3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(48 + 16i + -3i2 + -1i3)' equal to zero and attempt to solve: Simplifying 48 + 16i + -3i2 + -1i3 = 0 Solving 48 + 16i + -3i2 + -1i3 = 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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