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Simplifying (-6 + -1I)(3 + -3i) = 0 Multiply (-6 + -1I) * (3 + -3i) (-6(3 + -3i) + -1I * (3 + -3i)) = 0 ((3 * -6 + -3i * -6) + -1I * (3 + -3i)) = 0 ((-18 + 18i) + -1I * (3 + -3i)) = 0 (-18 + 18i + (3 * -1I + -3i * -1I)) = 0 (-18 + 18i + (-3I + 3iI)) = 0 Reorder the terms: (-18 + -3I + 18i + 3iI) = 0 (-18 + -3I + 18i + 3iI) = 0 Solving -18 + -3I + 18i + 3iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -3I + 18i + 18 + 3iI = 0 + 18 Reorder the terms: -18 + 18 + -3I + 18i + 3iI = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -3I + 18i + 3iI = 0 + 18 -3I + 18i + 3iI = 0 + 18 Combine like terms: 0 + 18 = 18 -3I + 18i + 3iI = 18 Add '-18i' to each side of the equation. -3I + 18i + -18i + 3iI = 18 + -18i Combine like terms: 18i + -18i = 0 -3I + 0 + 3iI = 18 + -18i -3I + 3iI = 18 + -18i Reorder the terms: -18 + -3I + 18i + 3iI = 18 + -18i + -18 + 18i Reorder the terms: -18 + -3I + 18i + 3iI = 18 + -18 + -18i + 18i Combine like terms: 18 + -18 = 0 -18 + -3I + 18i + 3iI = 0 + -18i + 18i -18 + -3I + 18i + 3iI = -18i + 18i Combine like terms: -18i + 18i = 0 -18 + -3I + 18i + 3iI = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + -1I + 6i + iI) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -1I + 6i + iI)' equal to zero and attempt to solve: Simplifying -6 + -1I + 6i + iI = 0 Solving -6 + -1I + 6i + iI = 0 Move all terms containing I to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1I + 6i + 6 + iI = 0 + 6 Reorder the terms: -6 + 6 + -1I + 6i + iI = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1I + 6i + iI = 0 + 6 -1I + 6i + iI = 0 + 6 Combine like terms: 0 + 6 = 6 -1I + 6i + iI = 6 Add '-6i' to each side of the equation. -1I + 6i + -6i + iI = 6 + -6i Combine like terms: 6i + -6i = 0 -1I + 0 + iI = 6 + -6i -1I + iI = 6 + -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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