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

Simple and best practice solution for f(x)=a[x-(-3)][x-(-3)][x-(5-3i)][x-(5+3i)] equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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

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

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

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

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

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

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

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

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

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

Combine like terms: 3x + 3x = 6x
fx = a[9 + 6x + x²][-5 + 3i + x][-5 + -3i + x]

Multiply [9 + 6x + x²] * [-5 + 3i + x]
fx = a[9[-5 + 3i + x] + 6x * [-5 + 3i + x] + x²[-5 + 3i + x]][-5 + -3i + x]
fx = a[[-5 * 9 + 3i * 9 + x * 9] + 6x * [-5 + 3i + x] + x²[-5 + 3i + x]][-5 + -3i + x]
fx = a[[-45 + 27i + 9x] + 6x * [-5 + 3i + x] + x²[-5 + 3i + x]][-5 + -3i + x]
fx = a[-45 + 27i + 9x + [-5 * 6x + 3i * 6x + x * 6x] + x²[-5 + 3i + x]][-5 + -3i + x]

Reorder the terms:
fx = a[-45 + 27i + 9x + [18ix + -30x + 6x²] + x²[-5 + 3i + x]][-5 + -3i + x]
fx = a[-45 + 27i + 9x + [18ix + -30x + 6x²] + x²[-5 + 3i + x]][-5 + -3i + x]
fx = a[-45 + 27i + 9x + 18ix + -30x + 6x² + [-5 * x² + 3i * x² + x * x²]][-5 + -3i + x]

Reorder the terms:
fx = a[-45 + 27i + 9x + 18ix + -30x + 6x² + [3ix² + -5x² + x³]][-5 + -3i + x]
fx = a[-45 + 27i + 9x + 18ix + -30x + 6x² + [3ix² + -5x² + x³]][-5 + -3i + x]

Reorder the terms:
fx = a[-45 + 27i + 18ix + 3ix² + 9x + -30x + 6x² + -5x² + x³][-5 + -3i + x]

Combine like terms: 9x + -30x = -21x
fx = a[-45 + 27i + 18ix + 3ix² + -21x + 6x² + -5x² + x³][-5 + -3i + x]

Combine like terms: 6x² + -5x² = 1x²
fx = a[-45 + 27i + 18ix + 3ix² + -21x + 1x² + x³][-5 + -3i + x]

Multiply [-45 + 27i + 18ix + 3ix² + -21x + 1x² + x³] * [-5 + -3i + x]
fx = a[-45[-5 + -3i + x] + 27i * [-5 + -3i + x] + 18ix * [-5 + -3i + x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[[-5 * -45 + -3i * -45 + x * -45] + 27i * [-5 + -3i + x] + 18ix * [-5 + -3i + x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[[225 + 135i + -45x] + 27i * [-5 + -3i + x] + 18ix * [-5 + -3i + x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + [-5 * 27i + -3i * 27i + x * 27i] + 18ix * [-5 + -3i + x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]

Reorder the terms:
fx = a[225 + 135i + -45x + [-135i + 27ix + -81i²] + 18ix * [-5 + -3i + x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + [-135i + 27ix + -81i²] + 18ix * [-5 + -3i + x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + [-5 * 18ix + -3i * 18ix + x * 18ix] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]

Reorder the terms:
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + [-90ix + 18ix² + -54i²x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + [-90ix + 18ix² + -54i²x] + 3ix² * [-5 + -3i + x] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + [-5 * 3ix² + -3i * 3ix² + x * 3ix²] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]

Reorder the terms:
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + [-15ix² + 3ix³ + -9i²x²] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + [-15ix² + 3ix³ + -9i²x²] + -21x * [-5 + -3i + x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + [-5 * -21x + -3i * -21x + x * -21x] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]

Reorder the terms:
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + [63ix + 105x + -21x²] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + [63ix + 105x + -21x²] + 1x² * [-5 + -3i + x] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + 63ix + 105x + -21x² + [-5 * 1x² + -3i * 1x² + x * 1x²] + x³[-5 + -3i + x]]

Reorder the terms:
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + 63ix + 105x + -21x² + [-3ix² + -5x² + 1x³] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + 63ix + 105x + -21x² + [-3ix² + -5x² + 1x³] + x³[-5 + -3i + x]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + 63ix + 105x + -21x² + -3ix² + -5x² + 1x³ + [-5 * x³ + -3i * x³ + x * x³]]

Reorder the terms:
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + 63ix + 105x + -21x² + -3ix² + -5x² + 1x³ + [-3ix³ + -5x³ + x⁴]]
fx = a[225 + 135i + -45x + -135i + 27ix + -81i² + -90ix + 18ix² + -54i²x + -15ix² + 3ix³ + -9i²x² + 63ix + 105x + -21x² + -3ix² + -5x² + 1x³ + [-3ix³ + -5x³ + x⁴]]

Reorder the terms:
fx = a[225 + 135i + -135i + 27ix + -90ix + 63ix + 18ix² + -15ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: 135i + -135i = 0
fx = a[225 + 0 + 27ix + -90ix + 63ix + 18ix² + -15ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]
fx = a[225 + 27ix + -90ix + 63ix + 18ix² + -15ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: 27ix + -90ix = -63ix
fx = a[225 + -63ix + 63ix + 18ix² + -15ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: -63ix + 63ix = 0
fx = a[225 + 0 + 18ix² + -15ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]
fx = a[225 + 18ix² + -15ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: 18ix² + -15ix² = 3ix²
fx = a[225 + 3ix² + -3ix² + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: 3ix² + -3ix² = 0
fx = a[225 + 0 + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]
fx = a[225 + 3ix³ + -3ix³ + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: 3ix³ + -3ix³ = 0
fx = a[225 + 0 + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]
fx = a[225 + -81i² + -54i²x + -9i²x² + -45x + 105x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: -45x + 105x = 60x
fx = a[225 + -81i² + -54i²x + -9i²x² + 60x + -21x² + -5x² + 1x³ + -5x³ + x⁴]

Combine like terms: -21x² + -5x² = -26x²
fx = a[225 + -81i² + -54i²x + -9i²x² + 60x + -26x² + 1x³ + -5x³ + x⁴]

Combine like terms: 1x³ + -5x³ = -4x³
fx = a[225 + -81i² + -54i²x + -9i²x² + 60x + -26x² + -4x³ + x⁴]
fx = [225 * a + -81i² * a + -54i²x * a + -9i²x² * a + 60x * a + -26x² * a + -4x³ * a + x⁴ * a]
fx = [225a + -81ai² + -54ai²x + -9ai²x² + 60ax + -26ax² + -4ax³ + ax⁴]

Solving
fx = 225a + -81ai² + -54ai²x + -9ai²x² + 60ax + -26ax² + -4ax³ + 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 = 225ax^-1 + -81ai²x^-1 + -54ai² + -9ai²x + 60a + -26ax + -4ax² + ax³

Simplifying
f = 225ax^-1 + -81ai²x^-1 + -54ai² + -9ai²x + 60a + -26ax + -4ax² + ax³

Reorder the terms:
f = 60a + -54ai² + -81ai²x^-1 + -9ai²x + 225ax^-1 + -26ax + -4ax² + ax³

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

Simple and best practice solution for f(x)=a[x-(-3)][x-(-3)][x-(5-3i)][x-(5+3i)] equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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

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