f(x)=a[x-(-3)][x-(-3)][x-(-5-2i)][x-(-5+2i)]

Simple and best practice solution for f(x)=a[x-(-3)][x-(-3)][x-(-5-2i)][x-(-5+2i)] 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-(-5-2i)][x-(-5+2i)] equation:

Simplifying
f(x) = a[x + -1(-3)][x + -1(-3)][x + -1(-5 + -2i)][x + -1(-5 + 2i)]

Multiply f * x
fx = a[x + -1(-3)][x + -1(-3)][x + -1(-5 + -2i)][x + -1(-5 + 2i)]

Multiply -1 * -3
fx = a[x + 3][x + -1(-3)][x + -1(-5 + -2i)][x + -1(-5 + 2i)]

Reorder the terms:
fx = a[3 + x][x + -1(-3)][x + -1(-5 + -2i)][x + -1(-5 + 2i)]

Multiply -1 * -3
fx = a[3 + x][x + 3][x + -1(-5 + -2i)][x + -1(-5 + 2i)]

Reorder the terms:
fx = a[3 + x][3 + x][x + -1(-5 + -2i)][x + -1(-5 + 2i)]
fx = a[3 + x][3 + x][x + (-5 * -1 + -2i * -1)][x + -1(-5 + 2i)]
fx = a[3 + x][3 + x][x + (5 + 2i)][x + -1(-5 + 2i)]

Reorder the terms:
fx = a[3 + x][3 + x][5 + 2i + x][x + -1(-5 + 2i)]
fx = a[3 + x][3 + x][5 + 2i + x][x + (-5 * -1 + 2i * -1)]
fx = a[3 + x][3 + x][5 + 2i + x][x + (5 + -2i)]

Reorder the terms:
fx = a[3 + x][3 + x][5 + 2i + x][5 + -2i + x]

Multiply [3 + x] * [3 + x]
fx = a[3[3 + x] + x[3 + x]][5 + 2i + x][5 + -2i + x]
fx = a[[3 * 3 + x * 3] + x[3 + x]][5 + 2i + x][5 + -2i + x]
fx = a[[9 + 3x] + x[3 + x]][5 + 2i + x][5 + -2i + x]
fx = a[9 + 3x + [3 * x + x * x]][5 + 2i + x][5 + -2i + x]
fx = a[9 + 3x + [3x + x²]][5 + 2i + x][5 + -2i + x]

Combine like terms: 3x + 3x = 6x
fx = a[9 + 6x + x²][5 + 2i + x][5 + -2i + x]

Multiply [9 + 6x + x²] * [5 + 2i + x]
fx = a[9[5 + 2i + x] + 6x * [5 + 2i + x] + x²[5 + 2i + x]][5 + -2i + x]
fx = a[[5 * 9 + 2i * 9 + x * 9] + 6x * [5 + 2i + x] + x²[5 + 2i + x]][5 + -2i + x]
fx = a[[45 + 18i + 9x] + 6x * [5 + 2i + x] + x²[5 + 2i + x]][5 + -2i + x]
fx = a[45 + 18i + 9x + [5 * 6x + 2i * 6x + x * 6x] + x²[5 + 2i + x]][5 + -2i + x]

Reorder the terms:
fx = a[45 + 18i + 9x + [12ix + 30x + 6x²] + x²[5 + 2i + x]][5 + -2i + x]
fx = a[45 + 18i + 9x + [12ix + 30x + 6x²] + x²[5 + 2i + x]][5 + -2i + x]
fx = a[45 + 18i + 9x + 12ix + 30x + 6x² + [5 * x² + 2i * x² + x * x²]][5 + -2i + x]

Reorder the terms:
fx = a[45 + 18i + 9x + 12ix + 30x + 6x² + [2ix² + 5x² + x³]][5 + -2i + x]
fx = a[45 + 18i + 9x + 12ix + 30x + 6x² + [2ix² + 5x² + x³]][5 + -2i + x]

Reorder the terms:
fx = a[45 + 18i + 12ix + 2ix² + 9x + 30x + 6x² + 5x² + x³][5 + -2i + x]

Combine like terms: 9x + 30x = 39x
fx = a[45 + 18i + 12ix + 2ix² + 39x + 6x² + 5x² + x³][5 + -2i + x]

Combine like terms: 6x² + 5x² = 11x²
fx = a[45 + 18i + 12ix + 2ix² + 39x + 11x² + x³][5 + -2i + x]

Multiply [45 + 18i + 12ix + 2ix² + 39x + 11x² + x³] * [5 + -2i + x]
fx = a[45[5 + -2i + x] + 18i * [5 + -2i + x] + 12ix * [5 + -2i + x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[[5 * 45 + -2i * 45 + x * 45] + 18i * [5 + -2i + x] + 12ix * [5 + -2i + x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[[225 + -90i + 45x] + 18i * [5 + -2i + x] + 12ix * [5 + -2i + x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + [5 * 18i + -2i * 18i + x * 18i] + 12ix * [5 + -2i + x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]

Reorder the terms:
fx = a[225 + -90i + 45x + [90i + 18ix + -36i²] + 12ix * [5 + -2i + x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + [90i + 18ix + -36i²] + 12ix * [5 + -2i + x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + [5 * 12ix + -2i * 12ix + x * 12ix] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]

Reorder the terms:
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + [60ix + 12ix² + -24i²x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + [60ix + 12ix² + -24i²x] + 2ix² * [5 + -2i + x] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + [5 * 2ix² + -2i * 2ix² + x * 2ix²] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]

Reorder the terms:
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + [10ix² + 2ix³ + -4i²x²] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + [10ix² + 2ix³ + -4i²x²] + 39x * [5 + -2i + x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + [5 * 39x + -2i * 39x + x * 39x] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]

Reorder the terms:
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + [-78ix + 195x + 39x²] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + [-78ix + 195x + 39x²] + 11x² * [5 + -2i + x] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + -78ix + 195x + 39x² + [5 * 11x² + -2i * 11x² + x * 11x²] + x³[5 + -2i + x]]

Reorder the terms:
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + -78ix + 195x + 39x² + [-22ix² + 55x² + 11x³] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + -78ix + 195x + 39x² + [-22ix² + 55x² + 11x³] + x³[5 + -2i + x]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + -78ix + 195x + 39x² + -22ix² + 55x² + 11x³ + [5 * x³ + -2i * x³ + x * x³]]

Reorder the terms:
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + -78ix + 195x + 39x² + -22ix² + 55x² + 11x³ + [-2ix³ + 5x³ + x⁴]]
fx = a[225 + -90i + 45x + 90i + 18ix + -36i² + 60ix + 12ix² + -24i²x + 10ix² + 2ix³ + -4i²x² + -78ix + 195x + 39x² + -22ix² + 55x² + 11x³ + [-2ix³ + 5x³ + x⁴]]

Reorder the terms:
fx = a[225 + -90i + 90i + 18ix + 60ix + -78ix + 12ix² + 10ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: -90i + 90i = 0
fx = a[225 + 0 + 18ix + 60ix + -78ix + 12ix² + 10ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]
fx = a[225 + 18ix + 60ix + -78ix + 12ix² + 10ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 18ix + 60ix = 78ix
fx = a[225 + 78ix + -78ix + 12ix² + 10ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 78ix + -78ix = 0
fx = a[225 + 0 + 12ix² + 10ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]
fx = a[225 + 12ix² + 10ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 12ix² + 10ix² = 22ix²
fx = a[225 + 22ix² + -22ix² + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 22ix² + -22ix² = 0
fx = a[225 + 0 + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]
fx = a[225 + 2ix³ + -2ix³ + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 2ix³ + -2ix³ = 0
fx = a[225 + 0 + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]
fx = a[225 + -36i² + -24i²x + -4i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 45x + 195x = 240x
fx = a[225 + -36i² + -24i²x + -4i²x² + 240x + 39x² + 55x² + 11x³ + 5x³ + x⁴]

Combine like terms: 39x² + 55x² = 94x²
fx = a[225 + -36i² + -24i²x + -4i²x² + 240x + 94x² + 11x³ + 5x³ + x⁴]

Combine like terms: 11x³ + 5x³ = 16x³
fx = a[225 + -36i² + -24i²x + -4i²x² + 240x + 94x² + 16x³ + x⁴]
fx = [225 * a + -36i² * a + -24i²x * a + -4i²x² * a + 240x * a + 94x² * a + 16x³ * a + x⁴ * a]
fx = [225a + -36ai² + -24ai²x + -4ai²x² + 240ax + 94ax² + 16ax³ + ax⁴]

Solving
fx = 225a + -36ai² + -24ai²x + -4ai²x² + 240ax + 94ax² + 16ax³ + 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 + -36ai²x^-1 + -24ai² + -4ai²x + 240a + 94ax + 16ax² + ax³

Simplifying
f = 225ax^-1 + -36ai²x^-1 + -24ai² + -4ai²x + 240a + 94ax + 16ax² + ax³

Reorder the terms:
f = 240a + -24ai² + -36ai²x^-1 + -4ai²x + 225ax^-1 + 94ax + 16ax² + ax³

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f(x)=a[x-(-3)][x-(-3)][x-(-5-2i)][x-(-5+2i)]

Simple and best practice solution for f(x)=a[x-(-3)][x-(-3)][x-(-5-2i)][x-(-5+2i)] 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-(-5-2i)][x-(-5+2i)] equation:

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