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Simplifying x + -1(2 + i)(2 + -1i)(x + -4) = 0 Reorder the terms: x + -1(2 + i)(2 + -1i)(-4 + x) = 0 Multiply (2 + i) * (2 + -1i) x + -1(2(2 + -1i) + i(2 + -1i))(-4 + x) = 0 x + -1((2 * 2 + -1i * 2) + i(2 + -1i))(-4 + x) = 0 x + -1((4 + -2i) + i(2 + -1i))(-4 + x) = 0 x + -1(4 + -2i + (2 * i + -1i * i))(-4 + x) = 0 x + -1(4 + -2i + (2i + -1i2))(-4 + x) = 0 Combine like terms: -2i + 2i = 0 x + -1(4 + 0 + -1i2)(-4 + x) = 0 x + -1(4 + -1i2)(-4 + x) = 0 Multiply (4 + -1i2) * (-4 + x) x + -1(4(-4 + x) + -1i2 * (-4 + x)) = 0 x + -1((-4 * 4 + x * 4) + -1i2 * (-4 + x)) = 0 x + -1((-16 + 4x) + -1i2 * (-4 + x)) = 0 x + -1(-16 + 4x + (-4 * -1i2 + x * -1i2)) = 0 x + -1(-16 + 4x + (4i2 + -1i2x)) = 0 Reorder the terms: x + -1(-16 + 4i2 + -1i2x + 4x) = 0 x + -1(-16 + 4i2 + -1i2x + 4x) = 0 x + (-16 * -1 + 4i2 * -1 + -1i2x * -1 + 4x * -1) = 0 x + (16 + -4i2 + 1i2x + -4x) = 0 Reorder the terms: 16 + -4i2 + 1i2x + x + -4x = 0 Combine like terms: x + -4x = -3x 16 + -4i2 + 1i2x + -3x = 0 Solving 16 + -4i2 + 1i2x + -3x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4i2 + 1i2x + -16 + -3x = 0 + -16 Reorder the terms: 16 + -16 + -4i2 + 1i2x + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4i2 + 1i2x + -3x = 0 + -16 -4i2 + 1i2x + -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -4i2 + 1i2x + -3x = -16 Add '3x' to each side of the equation. -4i2 + 1i2x + -3x + 3x = -16 + 3x Combine like terms: -3x + 3x = 0 -4i2 + 1i2x + 0 = -16 + 3x -4i2 + 1i2x = -16 + 3x Reorder the terms: 16 + -4i2 + 1i2x + -3x = -16 + 3x + 16 + -3x Reorder the terms: 16 + -4i2 + 1i2x + -3x = -16 + 16 + 3x + -3x Combine like terms: -16 + 16 = 0 16 + -4i2 + 1i2x + -3x = 0 + 3x + -3x 16 + -4i2 + 1i2x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 16 + -4i2 + 1i2x + -3x = 0 The solution to this equation could not be determined.
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