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Simplifying (7 + -6i)(2 + 3I) = 0 Multiply (7 + -6i) * (2 + 3I) (7(2 + 3I) + -6i * (2 + 3I)) = 0 ((2 * 7 + 3I * 7) + -6i * (2 + 3I)) = 0 ((14 + 21I) + -6i * (2 + 3I)) = 0 (14 + 21I + (2 * -6i + 3I * -6i)) = 0 (14 + 21I + (-12i + -18iI)) = 0 (14 + 21I + -12i + -18iI) = 0 Solving 14 + 21I + -12i + -18iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 21I + -12i + -14 + -18iI = 0 + -14 Reorder the terms: 14 + -14 + 21I + -12i + -18iI = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 21I + -12i + -18iI = 0 + -14 21I + -12i + -18iI = 0 + -14 Combine like terms: 0 + -14 = -14 21I + -12i + -18iI = -14 Add '12i' to each side of the equation. 21I + -12i + 12i + -18iI = -14 + 12i Combine like terms: -12i + 12i = 0 21I + 0 + -18iI = -14 + 12i 21I + -18iI = -14 + 12i Reorder the terms: 14 + 21I + -12i + -18iI = -14 + 12i + 14 + -12i Reorder the terms: 14 + 21I + -12i + -18iI = -14 + 14 + 12i + -12i Combine like terms: -14 + 14 = 0 14 + 21I + -12i + -18iI = 0 + 12i + -12i 14 + 21I + -12i + -18iI = 12i + -12i Combine like terms: 12i + -12i = 0 14 + 21I + -12i + -18iI = 0 The solution to this equation could not be determined.
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