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Simplifying 5ix + 6y = 3 + -12i Solving 5ix + 6y = 3 + -12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12i' to each side of the equation. 5ix + 12i + 6y = 3 + -12i + 12i Reorder the terms: 12i + 5ix + 6y = 3 + -12i + 12i Combine like terms: -12i + 12i = 0 12i + 5ix + 6y = 3 + 0 12i + 5ix + 6y = 3 Add '-6y' to each side of the equation. 12i + 5ix + 6y + -6y = 3 + -6y Combine like terms: 6y + -6y = 0 12i + 5ix + 0 = 3 + -6y 12i + 5ix = 3 + -6y Reorder the terms: -3 + 12i + 5ix + 6y = 3 + -6y + -3 + 6y Reorder the terms: -3 + 12i + 5ix + 6y = 3 + -3 + -6y + 6y Combine like terms: 3 + -3 = 0 -3 + 12i + 5ix + 6y = 0 + -6y + 6y -3 + 12i + 5ix + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -3 + 12i + 5ix + 6y = 0 The solution to this equation could not be determined.
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