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Simplifying (5 + i)(5 + -1i)(6 + 2i) = 0 Multiply (5 + i) * (5 + -1i) (5(5 + -1i) + i(5 + -1i))(6 + 2i) = 0 ((5 * 5 + -1i * 5) + i(5 + -1i))(6 + 2i) = 0 ((25 + -5i) + i(5 + -1i))(6 + 2i) = 0 (25 + -5i + (5 * i + -1i * i))(6 + 2i) = 0 (25 + -5i + (5i + -1i2))(6 + 2i) = 0 Combine like terms: -5i + 5i = 0 (25 + 0 + -1i2)(6 + 2i) = 0 (25 + -1i2)(6 + 2i) = 0 Multiply (25 + -1i2) * (6 + 2i) (25(6 + 2i) + -1i2 * (6 + 2i)) = 0 ((6 * 25 + 2i * 25) + -1i2 * (6 + 2i)) = 0 ((150 + 50i) + -1i2 * (6 + 2i)) = 0 (150 + 50i + (6 * -1i2 + 2i * -1i2)) = 0 (150 + 50i + (-6i2 + -2i3)) = 0 (150 + 50i + -6i2 + -2i3) = 0 Solving 150 + 50i + -6i2 + -2i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2'. 2(75 + 25i + -3i2 + -1i3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(75 + 25i + -3i2 + -1i3)' equal to zero and attempt to solve: Simplifying 75 + 25i + -3i2 + -1i3 = 0 Solving 75 + 25i + -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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