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Simplifying (3 + -21i)(7 + -1I) = 0 Multiply (3 + -21i) * (7 + -1I) (3(7 + -1I) + -21i * (7 + -1I)) = 0 ((7 * 3 + -1I * 3) + -21i * (7 + -1I)) = 0 ((21 + -3I) + -21i * (7 + -1I)) = 0 (21 + -3I + (7 * -21i + -1I * -21i)) = 0 (21 + -3I + (-147i + 21iI)) = 0 (21 + -3I + -147i + 21iI) = 0 Solving 21 + -3I + -147i + 21iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -3I + -147i + -21 + 21iI = 0 + -21 Reorder the terms: 21 + -21 + -3I + -147i + 21iI = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3I + -147i + 21iI = 0 + -21 -3I + -147i + 21iI = 0 + -21 Combine like terms: 0 + -21 = -21 -3I + -147i + 21iI = -21 Add '147i' to each side of the equation. -3I + -147i + 147i + 21iI = -21 + 147i Combine like terms: -147i + 147i = 0 -3I + 0 + 21iI = -21 + 147i -3I + 21iI = -21 + 147i Reorder the terms: 21 + -3I + -147i + 21iI = -21 + 147i + 21 + -147i Reorder the terms: 21 + -3I + -147i + 21iI = -21 + 21 + 147i + -147i Combine like terms: -21 + 21 = 0 21 + -3I + -147i + 21iI = 0 + 147i + -147i 21 + -3I + -147i + 21iI = 147i + -147i Combine like terms: 147i + -147i = 0 21 + -3I + -147i + 21iI = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(7 + -1I + -49i + 7iI) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -1I + -49i + 7iI)' equal to zero and attempt to solve: Simplifying 7 + -1I + -49i + 7iI = 0 Solving 7 + -1I + -49i + 7iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -1I + -49i + -7 + 7iI = 0 + -7 Reorder the terms: 7 + -7 + -1I + -49i + 7iI = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1I + -49i + 7iI = 0 + -7 -1I + -49i + 7iI = 0 + -7 Combine like terms: 0 + -7 = -7 -1I + -49i + 7iI = -7 Add '49i' to each side of the equation. -1I + -49i + 49i + 7iI = -7 + 49i Combine like terms: -49i + 49i = 0 -1I + 0 + 7iI = -7 + 49i -1I + 7iI = -7 + 49i 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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