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Simplifying (-4 + -8i)(-3 + I) = 0 Multiply (-4 + -8i) * (-3 + I) (-4(-3 + I) + -8i * (-3 + I)) = 0 ((-3 * -4 + I * -4) + -8i * (-3 + I)) = 0 ((12 + -4I) + -8i * (-3 + I)) = 0 (12 + -4I + (-3 * -8i + I * -8i)) = 0 (12 + -4I + (24i + -8iI)) = 0 (12 + -4I + 24i + -8iI) = 0 Solving 12 + -4I + 24i + -8iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4I + 24i + -12 + -8iI = 0 + -12 Reorder the terms: 12 + -12 + -4I + 24i + -8iI = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4I + 24i + -8iI = 0 + -12 -4I + 24i + -8iI = 0 + -12 Combine like terms: 0 + -12 = -12 -4I + 24i + -8iI = -12 Add '-24i' to each side of the equation. -4I + 24i + -24i + -8iI = -12 + -24i Combine like terms: 24i + -24i = 0 -4I + 0 + -8iI = -12 + -24i -4I + -8iI = -12 + -24i Reorder the terms: 12 + -4I + 24i + -8iI = -12 + -24i + 12 + 24i Reorder the terms: 12 + -4I + 24i + -8iI = -12 + 12 + -24i + 24i Combine like terms: -12 + 12 = 0 12 + -4I + 24i + -8iI = 0 + -24i + 24i 12 + -4I + 24i + -8iI = -24i + 24i Combine like terms: -24i + 24i = 0 12 + -4I + 24i + -8iI = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -1I + 6i + -2iI) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -1I + 6i + -2iI)' equal to zero and attempt to solve: Simplifying 3 + -1I + 6i + -2iI = 0 Solving 3 + -1I + 6i + -2iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1I + 6i + -3 + -2iI = 0 + -3 Reorder the terms: 3 + -3 + -1I + 6i + -2iI = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1I + 6i + -2iI = 0 + -3 -1I + 6i + -2iI = 0 + -3 Combine like terms: 0 + -3 = -3 -1I + 6i + -2iI = -3 Add '-6i' to each side of the equation. -1I + 6i + -6i + -2iI = -3 + -6i Combine like terms: 6i + -6i = 0 -1I + 0 + -2iI = -3 + -6i -1I + -2iI = -3 + -6i 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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