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Simplifying (3 + i)(3 + -1i)(2 + 6i) = 0 Multiply (3 + i) * (3 + -1i) (3(3 + -1i) + i(3 + -1i))(2 + 6i) = 0 ((3 * 3 + -1i * 3) + i(3 + -1i))(2 + 6i) = 0 ((9 + -3i) + i(3 + -1i))(2 + 6i) = 0 (9 + -3i + (3 * i + -1i * i))(2 + 6i) = 0 (9 + -3i + (3i + -1i2))(2 + 6i) = 0 Combine like terms: -3i + 3i = 0 (9 + 0 + -1i2)(2 + 6i) = 0 (9 + -1i2)(2 + 6i) = 0 Multiply (9 + -1i2) * (2 + 6i) (9(2 + 6i) + -1i2 * (2 + 6i)) = 0 ((2 * 9 + 6i * 9) + -1i2 * (2 + 6i)) = 0 ((18 + 54i) + -1i2 * (2 + 6i)) = 0 (18 + 54i + (2 * -1i2 + 6i * -1i2)) = 0 (18 + 54i + (-2i2 + -6i3)) = 0 (18 + 54i + -2i2 + -6i3) = 0 Solving 18 + 54i + -2i2 + -6i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 27i + -1i2 + -3i3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 27i + -1i2 + -3i3)' equal to zero and attempt to solve: Simplifying 9 + 27i + -1i2 + -3i3 = 0 Solving 9 + 27i + -1i2 + -3i3 = 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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