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

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


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

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

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

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

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

Multiply (-4 + x) * (-3 + 1i + x)
(-4(-3 + 1i + x) + x(-3 + 1i + x)) = 0
((-3 * -4 + 1i * -4 + x * -4) + x(-3 + 1i + x)) = 0
((12 + -4i + -4x) + x(-3 + 1i + x)) = 0
(12 + -4i + -4x + (-3 * x + 1i * x + x * x)) = 0

Reorder the terms:
(12 + -4i + -4x + (1ix + -3x + x2)) = 0
(12 + -4i + -4x + (1ix + -3x + x2)) = 0

Reorder the terms:
(12 + -4i + 1ix + -4x + -3x + x2) = 0

Combine like terms: -4x + -3x = -7x
(12 + -4i + 1ix + -7x + x2) = 0

Solving
12 + -4i + 1ix + -7x + x2 = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -4i + 1ix + -7x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -4i + 1ix + -7x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4i + 1ix + -7x + x2 = 0 + -12
-4i + 1ix + -7x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4i + 1ix + -7x + x2 = -12

Add '7x' to each side of the equation.
-4i + 1ix + -7x + 7x + x2 = -12 + 7x

Combine like terms: -7x + 7x = 0
-4i + 1ix + 0 + x2 = -12 + 7x
-4i + 1ix + x2 = -12 + 7x

Add '-1x2' to each side of the equation.
-4i + 1ix + x2 + -1x2 = -12 + 7x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i + 1ix + 0 = -12 + 7x + -1x2
-4i + 1ix = -12 + 7x + -1x2

Reorder the terms:
12 + -4i + 1ix + -7x + x2 = -12 + 7x + -1x2 + 12 + -7x + x2

Reorder the terms:
12 + -4i + 1ix + -7x + x2 = -12 + 12 + 7x + -7x + -1x2 + x2

Combine like terms: -12 + 12 = 0
12 + -4i + 1ix + -7x + x2 = 0 + 7x + -7x + -1x2 + x2
12 + -4i + 1ix + -7x + x2 = 7x + -7x + -1x2 + x2

Combine like terms: 7x + -7x = 0
12 + -4i + 1ix + -7x + x2 = 0 + -1x2 + x2
12 + -4i + 1ix + -7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
12 + -4i + 1ix + -7x + x2 = 0

The solution to this equation could not be determined.

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