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Simplifying (x + -1(2 + 2i))(x + -1(2 + -2i)) = f(x) (x + (2 * -1 + 2i * -1))(x + -1(2 + -2i)) = f(x) (x + (-2 + -2i))(x + -1(2 + -2i)) = f(x) Reorder the terms: (-2 + -2i + x)(x + -1(2 + -2i)) = f(x) (-2 + -2i + x)(x + (2 * -1 + -2i * -1)) = f(x) (-2 + -2i + x)(x + (-2 + 2i)) = f(x) Reorder the terms: (-2 + -2i + x)(-2 + 2i + x) = f(x) Multiply (-2 + -2i + x) * (-2 + 2i + x) (-2(-2 + 2i + x) + -2i * (-2 + 2i + x) + x(-2 + 2i + x)) = f(x) ((-2 * -2 + 2i * -2 + x * -2) + -2i * (-2 + 2i + x) + x(-2 + 2i + x)) = f(x) ((4 + -4i + -2x) + -2i * (-2 + 2i + x) + x(-2 + 2i + x)) = f(x) (4 + -4i + -2x + (-2 * -2i + 2i * -2i + x * -2i) + x(-2 + 2i + x)) = f(x) Reorder the terms: (4 + -4i + -2x + (4i + -2ix + -4i2) + x(-2 + 2i + x)) = f(x) (4 + -4i + -2x + (4i + -2ix + -4i2) + x(-2 + 2i + x)) = f(x) (4 + -4i + -2x + 4i + -2ix + -4i2 + (-2 * x + 2i * x + x * x)) = f(x) Reorder the terms: (4 + -4i + -2x + 4i + -2ix + -4i2 + (2ix + -2x + x2)) = f(x) (4 + -4i + -2x + 4i + -2ix + -4i2 + (2ix + -2x + x2)) = f(x) Reorder the terms: (4 + -4i + 4i + -2ix + 2ix + -4i2 + -2x + -2x + x2) = f(x) Combine like terms: -4i + 4i = 0 (4 + 0 + -2ix + 2ix + -4i2 + -2x + -2x + x2) = f(x) (4 + -2ix + 2ix + -4i2 + -2x + -2x + x2) = f(x) Combine like terms: -2ix + 2ix = 0 (4 + 0 + -4i2 + -2x + -2x + x2) = f(x) (4 + -4i2 + -2x + -2x + x2) = f(x) Combine like terms: -2x + -2x = -4x (4 + -4i2 + -4x + x2) = f(x) Multiply f * x 4 + -4i2 + -4x + x2 = fx Solving 4 + -4i2 + -4x + x2 = fx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4i2 + -4x + -4 + x2 = -4 + fx Reorder the terms: 4 + -4 + -4i2 + -4x + x2 = -4 + fx Combine like terms: 4 + -4 = 0 0 + -4i2 + -4x + x2 = -4 + fx -4i2 + -4x + x2 = -4 + fx Add '4x' to each side of the equation. -4i2 + -4x + 4x + x2 = -4 + fx + 4x Combine like terms: -4x + 4x = 0 -4i2 + 0 + x2 = -4 + fx + 4x -4i2 + x2 = -4 + fx + 4x Add '-1x2' to each side of the equation. -4i2 + x2 + -1x2 = -4 + fx + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -4i2 + 0 = -4 + fx + 4x + -1x2 -4i2 = -4 + fx + 4x + -1x2 Divide each side by '-4'. i2 = 1 + -0.25fx + -1x + 0.25x2 Simplifying i2 = 1 + -0.25fx + -1x + 0.25x2 Reorder the terms: -1 + 0.25fx + i2 + x + -0.25x2 = 1 + -0.25fx + -1x + 0.25x2 + -1 + 0.25fx + x + -0.25x2 Reorder the terms: -1 + 0.25fx + i2 + x + -0.25x2 = 1 + -1 + -0.25fx + 0.25fx + -1x + x + 0.25x2 + -0.25x2 Combine like terms: 1 + -1 = 0 -1 + 0.25fx + i2 + x + -0.25x2 = 0 + -0.25fx + 0.25fx + -1x + x + 0.25x2 + -0.25x2 -1 + 0.25fx + i2 + x + -0.25x2 = -0.25fx + 0.25fx + -1x + x + 0.25x2 + -0.25x2 Combine like terms: -0.25fx + 0.25fx = 0.00 -1 + 0.25fx + i2 + x + -0.25x2 = 0.00 + -1x + x + 0.25x2 + -0.25x2 -1 + 0.25fx + i2 + x + -0.25x2 = -1x + x + 0.25x2 + -0.25x2 Combine like terms: -1x + x = 0 -1 + 0.25fx + i2 + x + -0.25x2 = 0 + 0.25x2 + -0.25x2 -1 + 0.25fx + i2 + x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -1 + 0.25fx + i2 + x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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