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Simplifying (x + -1)[x + -1(3x + ix)][x + -1(3x + -1ix)] = 0 Reorder the terms: (-1 + x)[x + -1(3x + ix)][x + -1(3x + -1ix)] = 0 Reorder the terms: (-1 + x)[x + -1(ix + 3x)][x + -1(3x + -1ix)] = 0 (-1 + x)[x + (ix * -1 + 3x * -1)][x + -1(3x + -1ix)] = 0 (-1 + x)[x + (-1ix + -3x)][x + -1(3x + -1ix)] = 0 Reorder the terms: (-1 + x)[-1ix + x + -3x][x + -1(3x + -1ix)] = 0 Combine like terms: x + -3x = -2x (-1 + x)[-1ix + -2x][x + -1(3x + -1ix)] = 0 Reorder the terms: (-1 + x)[-1ix + -2x][x + -1(-1ix + 3x)] = 0 (-1 + x)[-1ix + -2x][x + (-1ix * -1 + 3x * -1)] = 0 (-1 + x)[-1ix + -2x][x + (1ix + -3x)] = 0 Reorder the terms: (-1 + x)[-1ix + -2x][1ix + x + -3x] = 0 Combine like terms: x + -3x = -2x (-1 + x)[-1ix + -2x][1ix + -2x] = 0 Multiply (-1 + x) * [-1ix + -2x] (-1[-1ix + -2x] + x[-1ix + -2x])[1ix + -2x] = 0 ([-1ix * -1 + -2x * -1] + x[-1ix + -2x])[1ix + -2x] = 0 ([1ix + 2x] + x[-1ix + -2x])[1ix + -2x] = 0 (1ix + 2x + [-1ix * x + -2x * x])[1ix + -2x] = 0 (1ix + 2x + [-1ix2 + -2x2])[1ix + -2x] = 0 Reorder the terms: (1ix + -1ix2 + 2x + -2x2)[1ix + -2x] = 0 (1ix + -1ix2 + 2x + -2x2)[1ix + -2x] = 0 Multiply (1ix + -1ix2 + 2x + -2x2) * [1ix + -2x] (1ix * [1ix + -2x] + -1ix2 * [1ix + -2x] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 ([1ix * 1ix + -2x * 1ix] + -1ix2 * [1ix + -2x] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 Reorder the terms: ([-2ix2 + 1i2x2] + -1ix2 * [1ix + -2x] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 ([-2ix2 + 1i2x2] + -1ix2 * [1ix + -2x] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 (-2ix2 + 1i2x2 + [1ix * -1ix2 + -2x * -1ix2] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 Reorder the terms: (-2ix2 + 1i2x2 + [2ix3 + -1i2x3] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 (-2ix2 + 1i2x2 + [2ix3 + -1i2x3] + 2x * [1ix + -2x] + -2x2 * [1ix + -2x]) = 0 (-2ix2 + 1i2x2 + 2ix3 + -1i2x3 + [1ix * 2x + -2x * 2x] + -2x2 * [1ix + -2x]) = 0 (-2ix2 + 1i2x2 + 2ix3 + -1i2x3 + [2ix2 + -4x2] + -2x2 * [1ix + -2x]) = 0 (-2ix2 + 1i2x2 + 2ix3 + -1i2x3 + 2ix2 + -4x2 + [1ix * -2x2 + -2x * -2x2]) = 0 (-2ix2 + 1i2x2 + 2ix3 + -1i2x3 + 2ix2 + -4x2 + [-2ix3 + 4x3]) = 0 Reorder the terms: (-2ix2 + 2ix2 + 2ix3 + -2ix3 + 1i2x2 + -1i2x3 + -4x2 + 4x3) = 0 Combine like terms: -2ix2 + 2ix2 = 0 (0 + 2ix3 + -2ix3 + 1i2x2 + -1i2x3 + -4x2 + 4x3) = 0 (2ix3 + -2ix3 + 1i2x2 + -1i2x3 + -4x2 + 4x3) = 0 Combine like terms: 2ix3 + -2ix3 = 0 (0 + 1i2x2 + -1i2x3 + -4x2 + 4x3) = 0 (1i2x2 + -1i2x3 + -4x2 + 4x3) = 0 Solving 1i2x2 + -1i2x3 + -4x2 + 4x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4x2' to each side of the equation. 1i2x2 + -1i2x3 + -4x2 + 4x2 + 4x3 = 0 + 4x2 Combine like terms: -4x2 + 4x2 = 0 1i2x2 + -1i2x3 + 0 + 4x3 = 0 + 4x2 1i2x2 + -1i2x3 + 4x3 = 0 + 4x2 Remove the zero: 1i2x2 + -1i2x3 + 4x3 = 4x2 Add '-4x3' to each side of the equation. 1i2x2 + -1i2x3 + 4x3 + -4x3 = 4x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 1i2x2 + -1i2x3 + 0 = 4x2 + -4x3 1i2x2 + -1i2x3 = 4x2 + -4x3 Reorder the terms: 1i2x2 + -1i2x3 + -4x2 + 4x3 = 4x2 + -4x2 + -4x3 + 4x3 Combine like terms: 4x2 + -4x2 = 0 1i2x2 + -1i2x3 + -4x2 + 4x3 = 0 + -4x3 + 4x3 1i2x2 + -1i2x3 + -4x2 + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 1i2x2 + -1i2x3 + -4x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(i2 + -1i2x + -4 + 4x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 = 0 + -1x2 Remove the zero: 0 = -1x2 Simplifying 0 = -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(i2 + -1i2x + -4 + 4x)' equal to zero and attempt to solve: Simplifying i2 + -1i2x + -4 + 4x = 0 Reorder the terms: -4 + i2 + -1i2x + 4x = 0 Solving -4 + i2 + -1i2x + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + i2 + -1i2x + 4 + 4x = 0 + 4 Reorder the terms: -4 + 4 + i2 + -1i2x + 4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + i2 + -1i2x + 4x = 0 + 4 i2 + -1i2x + 4x = 0 + 4 Combine like terms: 0 + 4 = 4 i2 + -1i2x + 4x = 4 Add '-4x' to each side of the equation. i2 + -1i2x + 4x + -4x = 4 + -4x Combine like terms: 4x + -4x = 0 i2 + -1i2x + 0 = 4 + -4x i2 + -1i2x = 4 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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