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Simplifying 1x[1000 + 0.5(4000) + -200i] = i Multiply 0.5 * 4000 1x[1000 + 2000 + -200i] = i Combine like terms: 1000 + 2000 = 3000 1x[3000 + -200i] = i [3000 * 1x + -200i * 1x] = i Reorder the terms: [-200ix + 3000x] = i [-200ix + 3000x] = i Solving -200ix + 3000x = i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. -200ix + -1i + 3000x = i + -1i Reorder the terms: -1i + -200ix + 3000x = i + -1i Combine like terms: i + -1i = 0 -1i + -200ix + 3000x = 0 Add '-3000x' to each side of the equation. -1i + -200ix + 3000x + -3000x = 0 + -3000x Combine like terms: 3000x + -3000x = 0 -1i + -200ix + 0 = 0 + -3000x -1i + -200ix = 0 + -3000x Remove the zero: -1i + -200ix = -3000x Combine like terms: -3000x + 3000x = 0 -1i + -200ix + 3000x = 0 The solution to this equation could not be determined.
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