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Simplifying (-5i)(4 + -3i)(4 + -3i) = -120 + -35i Remove parenthesis around (-5i) -5i(4 + -3i)(4 + -3i) = -120 + -35i Multiply (4 + -3i) * (4 + -3i) -5i(4(4 + -3i) + -3i * (4 + -3i)) = -120 + -35i -5i((4 * 4 + -3i * 4) + -3i * (4 + -3i)) = -120 + -35i -5i((16 + -12i) + -3i * (4 + -3i)) = -120 + -35i -5i(16 + -12i + (4 * -3i + -3i * -3i)) = -120 + -35i -5i(16 + -12i + (-12i + 9i2)) = -120 + -35i Combine like terms: -12i + -12i = -24i -5i(16 + -24i + 9i2) = -120 + -35i (16 * -5i + -24i * -5i + 9i2 * -5i) = -120 + -35i (-80i + 120i2 + -45i3) = -120 + -35i Solving -80i + 120i2 + -45i3 = -120 + -35i Solving for variable 'i'. Reorder the terms: 120 + -80i + 35i + 120i2 + -45i3 = -120 + -35i + 120 + 35i Combine like terms: -80i + 35i = -45i 120 + -45i + 120i2 + -45i3 = -120 + -35i + 120 + 35i Reorder the terms: 120 + -45i + 120i2 + -45i3 = -120 + 120 + -35i + 35i Combine like terms: -120 + 120 = 0 120 + -45i + 120i2 + -45i3 = 0 + -35i + 35i 120 + -45i + 120i2 + -45i3 = -35i + 35i Combine like terms: -35i + 35i = 0 120 + -45i + 120i2 + -45i3 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(8 + -3i + 8i2 + -3i3) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(8 + -3i + 8i2 + -3i3)' equal to zero and attempt to solve: Simplifying 8 + -3i + 8i2 + -3i3 = 0 Solving 8 + -3i + 8i2 + -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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