(x+1)(x-4+3i)=0

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Solution for (x+1)(x-4+3i)=0 equation:


Simplifying
(x + 1)(x + -4 + 3i) = 0

Reorder the terms:
(1 + x)(x + -4 + 3i) = 0

Reorder the terms:
(1 + x)(-4 + 3i + x) = 0

Multiply (1 + x) * (-4 + 3i + x)
(1(-4 + 3i + x) + x(-4 + 3i + x)) = 0
((-4 * 1 + 3i * 1 + x * 1) + x(-4 + 3i + x)) = 0
((-4 + 3i + 1x) + x(-4 + 3i + x)) = 0
(-4 + 3i + 1x + (-4 * x + 3i * x + x * x)) = 0

Reorder the terms:
(-4 + 3i + 1x + (3ix + -4x + x2)) = 0
(-4 + 3i + 1x + (3ix + -4x + x2)) = 0

Reorder the terms:
(-4 + 3i + 3ix + 1x + -4x + x2) = 0

Combine like terms: 1x + -4x = -3x
(-4 + 3i + 3ix + -3x + x2) = 0

Solving
-4 + 3i + 3ix + -3x + x2 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 3i + 3ix + -3x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 3i + 3ix + -3x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3i + 3ix + -3x + x2 = 0 + 4
3i + 3ix + -3x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
3i + 3ix + -3x + x2 = 4

Add '3x' to each side of the equation.
3i + 3ix + -3x + 3x + x2 = 4 + 3x

Combine like terms: -3x + 3x = 0
3i + 3ix + 0 + x2 = 4 + 3x
3i + 3ix + x2 = 4 + 3x

Add '-1x2' to each side of the equation.
3i + 3ix + x2 + -1x2 = 4 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
3i + 3ix + 0 = 4 + 3x + -1x2
3i + 3ix = 4 + 3x + -1x2

Reorder the terms:
-4 + 3i + 3ix + -3x + x2 = 4 + 3x + -1x2 + -4 + -3x + x2

Reorder the terms:
-4 + 3i + 3ix + -3x + x2 = 4 + -4 + 3x + -3x + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + 3i + 3ix + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
-4 + 3i + 3ix + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
-4 + 3i + 3ix + -3x + x2 = 0 + -1x2 + x2
-4 + 3i + 3ix + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 3i + 3ix + -3x + x2 = 0

The solution to this equation could not be determined.

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