f(x)=a[x-3(-3)][x-(-3)][x-(5-3i)][x-(5+3i)]

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Solution for f(x)=a[x-3(-3)][x-(-3)][x-(5-3i)][x-(5+3i)] equation: 


Simplifying
f(x) = a[x + -3(-3)][x + -1(-3)][x + -1(5 + -3i)][x + -1(5 + 3i)]

Multiply f * x
fx = a[x + -3(-3)][x + -1(-3)][x + -1(5 + -3i)][x + -1(5 + 3i)]

Multiply -3 * -3
fx = a[x + 9][x + -1(-3)][x + -1(5 + -3i)][x + -1(5 + 3i)]

Reorder the terms:
fx = a[9 + x][x + -1(-3)][x + -1(5 + -3i)][x + -1(5 + 3i)]

Multiply -1 * -3
fx = a[9 + x][x + 3][x + -1(5 + -3i)][x + -1(5 + 3i)]

Reorder the terms:
fx = a[9 + x][3 + x][x + -1(5 + -3i)][x + -1(5 + 3i)]
fx = a[9 + x][3 + x][x + (5 * -1 + -3i * -1)][x + -1(5 + 3i)]
fx = a[9 + x][3 + x][x + (-5 + 3i)][x + -1(5 + 3i)]

Reorder the terms:
fx = a[9 + x][3 + x][-5 + 3i + x][x + -1(5 + 3i)]
fx = a[9 + x][3 + x][-5 + 3i + x][x + (5 * -1 + 3i * -1)]
fx = a[9 + x][3 + x][-5 + 3i + x][x + (-5 + -3i)]

Reorder the terms:
fx = a[9 + x][3 + x][-5 + 3i + x][-5 + -3i + x]

Multiply [9 + x] * [3 + x]
fx = a[9[3 + x] + x[3 + x]][-5 + 3i + x][-5 + -3i + x]
fx = a[[3 * 9 + x * 9] + x[3 + x]][-5 + 3i + x][-5 + -3i + x]
fx = a[[27 + 9x] + x[3 + x]][-5 + 3i + x][-5 + -3i + x]
fx = a[27 + 9x + [3 * x + x * x]][-5 + 3i + x][-5 + -3i + x]
fx = a[27 + 9x + [3x + x2]][-5 + 3i + x][-5 + -3i + x]

Combine like terms: 9x + 3x = 12x
fx = a[27 + 12x + x2][-5 + 3i + x][-5 + -3i + x]

Multiply [27 + 12x + x2] * [-5 + 3i + x]
fx = a[27[-5 + 3i + x] + 12x * [-5 + 3i + x] + x2[-5 + 3i + x]][-5 + -3i + x]
fx = a[[-5 * 27 + 3i * 27 + x * 27] + 12x * [-5 + 3i + x] + x2[-5 + 3i + x]][-5 + -3i + x]
fx = a[[-135 + 81i + 27x] + 12x * [-5 + 3i + x] + x2[-5 + 3i + x]][-5 + -3i + x]
fx = a[-135 + 81i + 27x + [-5 * 12x + 3i * 12x + x * 12x] + x2[-5 + 3i + x]][-5 + -3i + x]

Reorder the terms:
fx = a[-135 + 81i + 27x + [36ix + -60x + 12x2] + x2[-5 + 3i + x]][-5 + -3i + x]
fx = a[-135 + 81i + 27x + [36ix + -60x + 12x2] + x2[-5 + 3i + x]][-5 + -3i + x]
fx = a[-135 + 81i + 27x + 36ix + -60x + 12x2 + [-5 * x2 + 3i * x2 + x * x2]][-5 + -3i + x]

Reorder the terms:
fx = a[-135 + 81i + 27x + 36ix + -60x + 12x2 + [3ix2 + -5x2 + x3]][-5 + -3i + x]
fx = a[-135 + 81i + 27x + 36ix + -60x + 12x2 + [3ix2 + -5x2 + x3]][-5 + -3i + x]

Reorder the terms:
fx = a[-135 + 81i + 36ix + 3ix2 + 27x + -60x + 12x2 + -5x2 + x3][-5 + -3i + x]

Combine like terms: 27x + -60x = -33x
fx = a[-135 + 81i + 36ix + 3ix2 + -33x + 12x2 + -5x2 + x3][-5 + -3i + x]

Combine like terms: 12x2 + -5x2 = 7x2
fx = a[-135 + 81i + 36ix + 3ix2 + -33x + 7x2 + x3][-5 + -3i + x]

Multiply [-135 + 81i + 36ix + 3ix2 + -33x + 7x2 + x3] * [-5 + -3i + x]
fx = a[-135[-5 + -3i + x] + 81i * [-5 + -3i + x] + 36ix * [-5 + -3i + x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[[-5 * -135 + -3i * -135 + x * -135] + 81i * [-5 + -3i + x] + 36ix * [-5 + -3i + x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[[675 + 405i + -135x] + 81i * [-5 + -3i + x] + 36ix * [-5 + -3i + x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + [-5 * 81i + -3i * 81i + x * 81i] + 36ix * [-5 + -3i + x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]

Reorder the terms:
fx = a[675 + 405i + -135x + [-405i + 81ix + -243i2] + 36ix * [-5 + -3i + x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + [-405i + 81ix + -243i2] + 36ix * [-5 + -3i + x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + [-5 * 36ix + -3i * 36ix + x * 36ix] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]

Reorder the terms:
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + [-180ix + 36ix2 + -108i2x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + [-180ix + 36ix2 + -108i2x] + 3ix2 * [-5 + -3i + x] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + [-5 * 3ix2 + -3i * 3ix2 + x * 3ix2] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]

Reorder the terms:
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + [-15ix2 + 3ix3 + -9i2x2] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + [-15ix2 + 3ix3 + -9i2x2] + -33x * [-5 + -3i + x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + [-5 * -33x + -3i * -33x + x * -33x] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]

Reorder the terms:
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + [99ix + 165x + -33x2] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + [99ix + 165x + -33x2] + 7x2 * [-5 + -3i + x] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + 99ix + 165x + -33x2 + [-5 * 7x2 + -3i * 7x2 + x * 7x2] + x3[-5 + -3i + x]]

Reorder the terms:
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + 99ix + 165x + -33x2 + [-21ix2 + -35x2 + 7x3] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + 99ix + 165x + -33x2 + [-21ix2 + -35x2 + 7x3] + x3[-5 + -3i + x]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + 99ix + 165x + -33x2 + -21ix2 + -35x2 + 7x3 + [-5 * x3 + -3i * x3 + x * x3]]

Reorder the terms:
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + 99ix + 165x + -33x2 + -21ix2 + -35x2 + 7x3 + [-3ix3 + -5x3 + x4]]
fx = a[675 + 405i + -135x + -405i + 81ix + -243i2 + -180ix + 36ix2 + -108i2x + -15ix2 + 3ix3 + -9i2x2 + 99ix + 165x + -33x2 + -21ix2 + -35x2 + 7x3 + [-3ix3 + -5x3 + x4]]

Reorder the terms:
fx = a[675 + 405i + -405i + 81ix + -180ix + 99ix + 36ix2 + -15ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: 405i + -405i = 0
fx = a[675 + 0 + 81ix + -180ix + 99ix + 36ix2 + -15ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]
fx = a[675 + 81ix + -180ix + 99ix + 36ix2 + -15ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: 81ix + -180ix = -99ix
fx = a[675 + -99ix + 99ix + 36ix2 + -15ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: -99ix + 99ix = 0
fx = a[675 + 0 + 36ix2 + -15ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]
fx = a[675 + 36ix2 + -15ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: 36ix2 + -15ix2 = 21ix2
fx = a[675 + 21ix2 + -21ix2 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: 21ix2 + -21ix2 = 0
fx = a[675 + 0 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]
fx = a[675 + 3ix3 + -3ix3 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: 3ix3 + -3ix3 = 0
fx = a[675 + 0 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]
fx = a[675 + -243i2 + -108i2x + -9i2x2 + -135x + 165x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: -135x + 165x = 30x
fx = a[675 + -243i2 + -108i2x + -9i2x2 + 30x + -33x2 + -35x2 + 7x3 + -5x3 + x4]

Combine like terms: -33x2 + -35x2 = -68x2
fx = a[675 + -243i2 + -108i2x + -9i2x2 + 30x + -68x2 + 7x3 + -5x3 + x4]

Combine like terms: 7x3 + -5x3 = 2x3
fx = a[675 + -243i2 + -108i2x + -9i2x2 + 30x + -68x2 + 2x3 + x4]
fx = [675 * a + -243i2 * a + -108i2x * a + -9i2x2 * a + 30x * a + -68x2 * a + 2x3 * a + x4 * a]
fx = [675a + -243ai2 + -108ai2x + -9ai2x2 + 30ax + -68ax2 + 2ax3 + ax4]

Solving
fx = 675a + -243ai2 + -108ai2x + -9ai2x2 + 30ax + -68ax2 + 2ax3 + ax4

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = 675ax-1 + -243ai2x-1 + -108ai2 + -9ai2x + 30a + -68ax + 2ax2 + ax3

Simplifying
f = 675ax-1 + -243ai2x-1 + -108ai2 + -9ai2x + 30a + -68ax + 2ax2 + ax3

Reorder the terms:
f = 30a + -108ai2 + -243ai2x-1 + -9ai2x + 675ax-1 + -68ax + 2ax2 + ax3

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