P(x)=(x-3)(x+4)(x-1-3i)(x-1+3)

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Solution for P(x)=(x-3)(x+4)(x-1-3i)(x-1+3) equation:

Simplifying
P(x) = (x + -3)(x + 4)(x + -1 + -3i)(x + -1 + 3)

Multiply P * x
xP = (x + -3)(x + 4)(x + -1 + -3i)(x + -1 + 3)

Reorder the terms:
xP = (-3 + x)(x + 4)(x + -1 + -3i)(x + -1 + 3)

Reorder the terms:
xP = (-3 + x)(4 + x)(x + -1 + -3i)(x + -1 + 3)

Reorder the terms:
xP = (-3 + x)(4 + x)(-1 + -3i + x)(x + -1 + 3)

Reorder the terms:
xP = (-3 + x)(4 + x)(-1 + -3i + x)(-1 + 3 + x)

Combine like terms: -1 + 3 = 2
xP = (-3 + x)(4 + x)(-1 + -3i + x)(2 + x)

Multiply (-3 + x) * (4 + x)
xP = (-3(4 + x) + x(4 + x))(-1 + -3i + x)(2 + x)
xP = ((4 * -3 + x * -3) + x(4 + x))(-1 + -3i + x)(2 + x)
xP = ((-12 + -3x) + x(4 + x))(-1 + -3i + x)(2 + x)
xP = (-12 + -3x + (4 * x + x * x))(-1 + -3i + x)(2 + x)
xP = (-12 + -3x + (4x + x²))(-1 + -3i + x)(2 + x)

Combine like terms: -3x + 4x = 1x
xP = (-12 + 1x + x²)(-1 + -3i + x)(2 + x)

Multiply (-12 + 1x + x²) * (-1 + -3i + x)
xP = (-12(-1 + -3i + x) + 1x * (-1 + -3i + x) + x²(-1 + -3i + x))(2 + x)
xP = ((-1 * -12 + -3i * -12 + x * -12) + 1x * (-1 + -3i + x) + x²(-1 + -3i + x))(2 + x)
xP = ((12 + 36i + -12x) + 1x * (-1 + -3i + x) + x²(-1 + -3i + x))(2 + x)
xP = (12 + 36i + -12x + (-1 * 1x + -3i * 1x + x * 1x) + x²(-1 + -3i + x))(2 + x)

Reorder the terms:
xP = (12 + 36i + -12x + (-3ix + -1x + 1x²) + x²(-1 + -3i + x))(2 + x)
xP = (12 + 36i + -12x + (-3ix + -1x + 1x²) + x²(-1 + -3i + x))(2 + x)
xP = (12 + 36i + -12x + -3ix + -1x + 1x² + (-1 * x² + -3i * x² + x * x²))(2 + x)

Reorder the terms:
xP = (12 + 36i + -12x + -3ix + -1x + 1x² + (-3ix² + -1x² + x³))(2 + x)
xP = (12 + 36i + -12x + -3ix + -1x + 1x² + (-3ix² + -1x² + x³))(2 + x)

Reorder the terms:
xP = (12 + 36i + -3ix + -3ix² + -12x + -1x + 1x² + -1x² + x³)(2 + x)

Combine like terms: -12x + -1x = -13x
xP = (12 + 36i + -3ix + -3ix² + -13x + 1x² + -1x² + x³)(2 + x)

Combine like terms: 1x² + -1x² = 0
xP = (12 + 36i + -3ix + -3ix² + -13x + 0 + x³)(2 + x)
xP = (12 + 36i + -3ix + -3ix² + -13x + x³)(2 + x)

Multiply (12 + 36i + -3ix + -3ix² + -13x + x³) * (2 + x)
xP = (12(2 + x) + 36i * (2 + x) + -3ix * (2 + x) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = ((2 * 12 + x * 12) + 36i * (2 + x) + -3ix * (2 + x) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = ((24 + 12x) + 36i * (2 + x) + -3ix * (2 + x) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + (2 * 36i + x * 36i) + -3ix * (2 + x) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + (72i + 36ix) + -3ix * (2 + x) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + (2 * -3ix + x * -3ix) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + (-6ix + -3ix²) + -3ix² * (2 + x) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + -6ix + -3ix² + (2 * -3ix² + x * -3ix²) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + -6ix + -3ix² + (-6ix² + -3ix³) + -13x * (2 + x) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + -6ix + -3ix² + -6ix² + -3ix³ + (2 * -13x + x * -13x) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + -6ix + -3ix² + -6ix² + -3ix³ + (-26x + -13x²) + x³(2 + x))
xP = (24 + 12x + 72i + 36ix + -6ix + -3ix² + -6ix² + -3ix³ + -26x + -13x² + (2 * x³ + x * x³))
xP = (24 + 12x + 72i + 36ix + -6ix + -3ix² + -6ix² + -3ix³ + -26x + -13x² + (2x³ + x⁴))

Reorder the terms:
xP = (24 + 72i + 36ix + -6ix + -3ix² + -6ix² + -3ix³ + 12x + -26x + -13x² + 2x³ + x⁴)

Combine like terms: 36ix + -6ix = 30ix
xP = (24 + 72i + 30ix + -3ix² + -6ix² + -3ix³ + 12x + -26x + -13x² + 2x³ + x⁴)

Combine like terms: -3ix² + -6ix² = -9ix²
xP = (24 + 72i + 30ix + -9ix² + -3ix³ + 12x + -26x + -13x² + 2x³ + x⁴)

Combine like terms: 12x + -26x = -14x
xP = (24 + 72i + 30ix + -9ix² + -3ix³ + -14x + -13x² + 2x³ + x⁴)

Solving
xP = 24 + 72i + 30ix + -9ix² + -3ix³ + -14x + -13x² + 2x³ + x⁴

Solving for variable 'x'.

Reorder the terms:
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 24 + 72i + 30ix + -9ix² + -3ix³ + -14x + -13x² + 2x³ + x⁴ + -24 + -72i + -30ix + 9ix² + 3ix³ + 14x + 13x² + -2x³ + -1x⁴

Reorder the terms:
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 24 + -24 + 72i + -72i + 30ix + -30ix + -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: 24 + -24 = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + 72i + -72i + 30ix + -30ix + -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 72i + -72i + 30ix + -30ix + -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: 72i + -72i = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + 30ix + -30ix + -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 30ix + -30ix + -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: 30ix + -30ix = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = -9ix² + 9ix² + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: -9ix² + 9ix² = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = -3ix³ + 3ix³ + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: -3ix³ + 3ix³ = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = -14x + 14x + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: -14x + 14x = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = -13x² + 13x² + 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: -13x² + 13x² = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + 2x³ + -2x³ + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 2x³ + -2x³ + x⁴ + -1x⁴

Combine like terms: 2x³ + -2x³ = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0 + x⁴ + -1x⁴
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = x⁴ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-24 + -72i + -30ix + 9ix² + 3ix³ + 14x + xP + 13x² + -2x³ + -1x⁴ = 0

The solution to this equation could not be determined.

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P(x)=(x-3)(x+4)(x-1-3i)(x-1+3)

Simple and best practice solution for P(x)=(x-3)(x+4)(x-1-3i)(x-1+3) 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 P(x)=(x-3)(x+4)(x-1-3i)(x-1+3) equation:

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