f(x)=(x+4)(x+4)(x-3-5i)(x-3+5i)

Simple and best practice solution for f(x)=(x+4)(x+4)(x-3-5i)(x-3+5i) 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)=(x+4)(x+4)(x-3-5i)(x-3+5i) equation:

Simplifying
f(x) = (x + 4)(x + 4)(x + -3 + -5i)(x + -3 + 5i)

Multiply f * x
fx = (x + 4)(x + 4)(x + -3 + -5i)(x + -3 + 5i)

Reorder the terms:
fx = (4 + x)(x + 4)(x + -3 + -5i)(x + -3 + 5i)

Reorder the terms:
fx = (4 + x)(4 + x)(x + -3 + -5i)(x + -3 + 5i)

Reorder the terms:
fx = (4 + x)(4 + x)(-3 + -5i + x)(x + -3 + 5i)

Reorder the terms:
fx = (4 + x)(4 + x)(-3 + -5i + x)(-3 + 5i + x)

Multiply (4 + x) * (4 + x)
fx = (4(4 + x) + x(4 + x))(-3 + -5i + x)(-3 + 5i + x)
fx = ((4 * 4 + x * 4) + x(4 + x))(-3 + -5i + x)(-3 + 5i + x)
fx = ((16 + 4x) + x(4 + x))(-3 + -5i + x)(-3 + 5i + x)
fx = (16 + 4x + (4 * x + x * x))(-3 + -5i + x)(-3 + 5i + x)
fx = (16 + 4x + (4x + x²))(-3 + -5i + x)(-3 + 5i + x)

Combine like terms: 4x + 4x = 8x
fx = (16 + 8x + x²)(-3 + -5i + x)(-3 + 5i + x)

Multiply (16 + 8x + x²) * (-3 + -5i + x)
fx = (16(-3 + -5i + x) + 8x * (-3 + -5i + x) + x²(-3 + -5i + x))(-3 + 5i + x)
fx = ((-3 * 16 + -5i * 16 + x * 16) + 8x * (-3 + -5i + x) + x²(-3 + -5i + x))(-3 + 5i + x)
fx = ((-48 + -80i + 16x) + 8x * (-3 + -5i + x) + x²(-3 + -5i + x))(-3 + 5i + x)
fx = (-48 + -80i + 16x + (-3 * 8x + -5i * 8x + x * 8x) + x²(-3 + -5i + x))(-3 + 5i + x)

Reorder the terms:
fx = (-48 + -80i + 16x + (-40ix + -24x + 8x²) + x²(-3 + -5i + x))(-3 + 5i + x)
fx = (-48 + -80i + 16x + (-40ix + -24x + 8x²) + x²(-3 + -5i + x))(-3 + 5i + x)
fx = (-48 + -80i + 16x + -40ix + -24x + 8x² + (-3 * x² + -5i * x² + x * x²))(-3 + 5i + x)

Reorder the terms:
fx = (-48 + -80i + 16x + -40ix + -24x + 8x² + (-5ix² + -3x² + x³))(-3 + 5i + x)
fx = (-48 + -80i + 16x + -40ix + -24x + 8x² + (-5ix² + -3x² + x³))(-3 + 5i + x)

Reorder the terms:
fx = (-48 + -80i + -40ix + -5ix² + 16x + -24x + 8x² + -3x² + x³)(-3 + 5i + x)

Combine like terms: 16x + -24x = -8x
fx = (-48 + -80i + -40ix + -5ix² + -8x + 8x² + -3x² + x³)(-3 + 5i + x)

Combine like terms: 8x² + -3x² = 5x²
fx = (-48 + -80i + -40ix + -5ix² + -8x + 5x² + x³)(-3 + 5i + x)

Multiply (-48 + -80i + -40ix + -5ix² + -8x + 5x² + x³) * (-3 + 5i + x)
fx = (-48(-3 + 5i + x) + -80i * (-3 + 5i + x) + -40ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = ((-3 * -48 + 5i * -48 + x * -48) + -80i * (-3 + 5i + x) + -40ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = ((144 + -240i + -48x) + -80i * (-3 + 5i + x) + -40ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + (-3 * -80i + 5i * -80i + x * -80i) + -40ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))

Reorder the terms:
fx = (144 + -240i + -48x + (240i + -80ix + -400i²) + -40ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + (240i + -80ix + -400i²) + -40ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + (-3 * -40ix + 5i * -40ix + x * -40ix) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))

Reorder the terms:
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + (120ix + -40ix² + -200i²x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + (120ix + -40ix² + -200i²x) + -5ix² * (-3 + 5i + x) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + (-3 * -5ix² + 5i * -5ix² + x * -5ix²) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))

Reorder the terms:
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + (15ix² + -5ix³ + -25i²x²) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + (15ix² + -5ix³ + -25i²x²) + -8x * (-3 + 5i + x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + (-3 * -8x + 5i * -8x + x * -8x) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))

Reorder the terms:
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + (-40ix + 24x + -8x²) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + (-40ix + 24x + -8x²) + 5x² * (-3 + 5i + x) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + -40ix + 24x + -8x² + (-3 * 5x² + 5i * 5x² + x * 5x²) + x³(-3 + 5i + x))

Reorder the terms:
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + -40ix + 24x + -8x² + (25ix² + -15x² + 5x³) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + -40ix + 24x + -8x² + (25ix² + -15x² + 5x³) + x³(-3 + 5i + x))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + -40ix + 24x + -8x² + 25ix² + -15x² + 5x³ + (-3 * x³ + 5i * x³ + x * x³))

Reorder the terms:
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + -40ix + 24x + -8x² + 25ix² + -15x² + 5x³ + (5ix³ + -3x³ + x⁴))
fx = (144 + -240i + -48x + 240i + -80ix + -400i² + 120ix + -40ix² + -200i²x + 15ix² + -5ix³ + -25i²x² + -40ix + 24x + -8x² + 25ix² + -15x² + 5x³ + (5ix³ + -3x³ + x⁴))

Reorder the terms:
fx = (144 + -240i + 240i + -80ix + 120ix + -40ix + -40ix² + 15ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -240i + 240i = 0
fx = (144 + 0 + -80ix + 120ix + -40ix + -40ix² + 15ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)
fx = (144 + -80ix + 120ix + -40ix + -40ix² + 15ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -80ix + 120ix = 40ix
fx = (144 + 40ix + -40ix + -40ix² + 15ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: 40ix + -40ix = 0
fx = (144 + 0 + -40ix² + 15ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)
fx = (144 + -40ix² + 15ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -40ix² + 15ix² = -25ix²
fx = (144 + -25ix² + 25ix² + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -25ix² + 25ix² = 0
fx = (144 + 0 + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)
fx = (144 + -5ix³ + 5ix³ + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -5ix³ + 5ix³ = 0
fx = (144 + 0 + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)
fx = (144 + -400i² + -200i²x + -25i²x² + -48x + 24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -48x + 24x = -24x
fx = (144 + -400i² + -200i²x + -25i²x² + -24x + -8x² + -15x² + 5x³ + -3x³ + x⁴)

Combine like terms: -8x² + -15x² = -23x²
fx = (144 + -400i² + -200i²x + -25i²x² + -24x + -23x² + 5x³ + -3x³ + x⁴)

Combine like terms: 5x³ + -3x³ = 2x³
fx = (144 + -400i² + -200i²x + -25i²x² + -24x + -23x² + 2x³ + x⁴)

Solving
fx = 144 + -400i² + -200i²x + -25i²x² + -24x + -23x² + 2x³ + x⁴

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 144x^-1 + -400i²x^-1 + -200i² + -25i²x + -24 + -23x + 2x² + x³

Simplifying
f = 144x^-1 + -400i²x^-1 + -200i² + -25i²x + -24 + -23x + 2x² + x³

Reorder the terms:
f = -24 + -200i² + -400i²x^-1 + -25i²x + 144x^-1 + -23x + 2x² + x³

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f(x)=(x+4)(x+4)(x-3-5i)(x-3+5i)

Simple and best practice solution for f(x)=(x+4)(x+4)(x-3-5i)(x-3+5i) 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)=(x+4)(x+4)(x-3-5i)(x-3+5i) equation:

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