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Simplifying 3x + 3yi + -1(5 + 2i) = (x + -12i) + (x + -4i) 3x + 3iy + (5 * -1 + 2i * -1) = (x + -12i) + (x + -4i) 3x + 3iy + (-5 + -2i) = (x + -12i) + (x + -4i) Reorder the terms: -5 + -2i + 3iy + 3x = (x + -12i) + (x + -4i) Reorder the terms: -5 + -2i + 3iy + 3x = (-12i + x) + (x + -4i) Remove parenthesis around (-12i + x) -5 + -2i + 3iy + 3x = -12i + x + (x + -4i) Reorder the terms: -5 + -2i + 3iy + 3x = -12i + x + (-4i + x) Remove parenthesis around (-4i + x) -5 + -2i + 3iy + 3x = -12i + x + -4i + x Reorder the terms: -5 + -2i + 3iy + 3x = -12i + -4i + x + x Combine like terms: -12i + -4i = -16i -5 + -2i + 3iy + 3x = -16i + x + x Combine like terms: x + x = 2x -5 + -2i + 3iy + 3x = -16i + 2x Solving -5 + -2i + 3iy + 3x = -16i + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16i' to each side of the equation. -5 + -2i + 3iy + 16i + 3x = -16i + 16i + 2x Reorder the terms: -5 + -2i + 16i + 3iy + 3x = -16i + 16i + 2x Combine like terms: -2i + 16i = 14i -5 + 14i + 3iy + 3x = -16i + 16i + 2x Combine like terms: -16i + 16i = 0 -5 + 14i + 3iy + 3x = 0 + 2x -5 + 14i + 3iy + 3x = 2x Add '5' to each side of the equation. -5 + 14i + 3iy + 5 + 3x = 5 + 2x Reorder the terms: -5 + 5 + 14i + 3iy + 3x = 5 + 2x Combine like terms: -5 + 5 = 0 0 + 14i + 3iy + 3x = 5 + 2x 14i + 3iy + 3x = 5 + 2x Add '-3x' to each side of the equation. 14i + 3iy + 3x + -3x = 5 + 2x + -3x Combine like terms: 3x + -3x = 0 14i + 3iy + 0 = 5 + 2x + -3x 14i + 3iy = 5 + 2x + -3x Combine like terms: 2x + -3x = -1x 14i + 3iy = 5 + -1x Reorder the terms: -5 + 14i + 3iy + x = 5 + -1x + -5 + x Reorder the terms: -5 + 14i + 3iy + x = 5 + -5 + -1x + x Combine like terms: 5 + -5 = 0 -5 + 14i + 3iy + x = 0 + -1x + x -5 + 14i + 3iy + x = -1x + x Combine like terms: -1x + x = 0 -5 + 14i + 3iy + x = 0 The solution to this equation could not be determined.
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