(x-2)(x-(7+6i))(x-(7-6i))=0

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Solution for (x-2)(x-(7+6i))(x-(7-6i))=0 equation: 


Simplifying
(x + -2)(x + -1(7 + 6i))(x + -1(7 + -6i)) = 0

Reorder the terms:
(-2 + x)(x + -1(7 + 6i))(x + -1(7 + -6i)) = 0
(-2 + x)(x + (7 * -1 + 6i * -1))(x + -1(7 + -6i)) = 0
(-2 + x)(x + (-7 + -6i))(x + -1(7 + -6i)) = 0

Reorder the terms:
(-2 + x)(-7 + -6i + x)(x + -1(7 + -6i)) = 0
(-2 + x)(-7 + -6i + x)(x + (7 * -1 + -6i * -1)) = 0
(-2 + x)(-7 + -6i + x)(x + (-7 + 6i)) = 0

Reorder the terms:
(-2 + x)(-7 + -6i + x)(-7 + 6i + x) = 0

Multiply (-2 + x) * (-7 + -6i + x)
(-2(-7 + -6i + x) + x(-7 + -6i + x))(-7 + 6i + x) = 0
((-7 * -2 + -6i * -2 + x * -2) + x(-7 + -6i + x))(-7 + 6i + x) = 0
((14 + 12i + -2x) + x(-7 + -6i + x))(-7 + 6i + x) = 0
(14 + 12i + -2x + (-7 * x + -6i * x + x * x))(-7 + 6i + x) = 0

Reorder the terms:
(14 + 12i + -2x + (-6ix + -7x + x2))(-7 + 6i + x) = 0
(14 + 12i + -2x + (-6ix + -7x + x2))(-7 + 6i + x) = 0

Reorder the terms:
(14 + 12i + -6ix + -2x + -7x + x2)(-7 + 6i + x) = 0

Combine like terms: -2x + -7x = -9x
(14 + 12i + -6ix + -9x + x2)(-7 + 6i + x) = 0

Multiply (14 + 12i + -6ix + -9x + x2) * (-7 + 6i + x)
(14(-7 + 6i + x) + 12i * (-7 + 6i + x) + -6ix * (-7 + 6i + x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
((-7 * 14 + 6i * 14 + x * 14) + 12i * (-7 + 6i + x) + -6ix * (-7 + 6i + x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
((-98 + 84i + 14x) + 12i * (-7 + 6i + x) + -6ix * (-7 + 6i + x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + (-7 * 12i + 6i * 12i + x * 12i) + -6ix * (-7 + 6i + x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0

Reorder the terms:
(-98 + 84i + 14x + (-84i + 12ix + 72i2) + -6ix * (-7 + 6i + x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + (-84i + 12ix + 72i2) + -6ix * (-7 + 6i + x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + -84i + 12ix + 72i2 + (-7 * -6ix + 6i * -6ix + x * -6ix) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0

Reorder the terms:
(-98 + 84i + 14x + -84i + 12ix + 72i2 + (42ix + -6ix2 + -36i2x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + -84i + 12ix + 72i2 + (42ix + -6ix2 + -36i2x) + -9x * (-7 + 6i + x) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + -84i + 12ix + 72i2 + 42ix + -6ix2 + -36i2x + (-7 * -9x + 6i * -9x + x * -9x) + x2(-7 + 6i + x)) = 0

Reorder the terms:
(-98 + 84i + 14x + -84i + 12ix + 72i2 + 42ix + -6ix2 + -36i2x + (-54ix + 63x + -9x2) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + -84i + 12ix + 72i2 + 42ix + -6ix2 + -36i2x + (-54ix + 63x + -9x2) + x2(-7 + 6i + x)) = 0
(-98 + 84i + 14x + -84i + 12ix + 72i2 + 42ix + -6ix2 + -36i2x + -54ix + 63x + -9x2 + (-7 * x2 + 6i * x2 + x * x2)) = 0

Reorder the terms:
(-98 + 84i + 14x + -84i + 12ix + 72i2 + 42ix + -6ix2 + -36i2x + -54ix + 63x + -9x2 + (6ix2 + -7x2 + x3)) = 0
(-98 + 84i + 14x + -84i + 12ix + 72i2 + 42ix + -6ix2 + -36i2x + -54ix + 63x + -9x2 + (6ix2 + -7x2 + x3)) = 0

Reorder the terms:
(-98 + 84i + -84i + 12ix + 42ix + -54ix + -6ix2 + 6ix2 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0

Combine like terms: 84i + -84i = 0
(-98 + 0 + 12ix + 42ix + -54ix + -6ix2 + 6ix2 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0
(-98 + 12ix + 42ix + -54ix + -6ix2 + 6ix2 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0

Combine like terms: 12ix + 42ix = 54ix
(-98 + 54ix + -54ix + -6ix2 + 6ix2 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0

Combine like terms: 54ix + -54ix = 0
(-98 + 0 + -6ix2 + 6ix2 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0
(-98 + -6ix2 + 6ix2 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0

Combine like terms: -6ix2 + 6ix2 = 0
(-98 + 0 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0
(-98 + 72i2 + -36i2x + 14x + 63x + -9x2 + -7x2 + x3) = 0

Combine like terms: 14x + 63x = 77x
(-98 + 72i2 + -36i2x + 77x + -9x2 + -7x2 + x3) = 0

Combine like terms: -9x2 + -7x2 = -16x2
(-98 + 72i2 + -36i2x + 77x + -16x2 + x3) = 0

Solving
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0

Solving for variable 'i'.

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

Add '98' to each side of the equation.
-98 + 72i2 + -36i2x + 77x + -16x2 + 98 + x3 = 0 + 98

Reorder the terms:
-98 + 98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0 + 98

Combine like terms: -98 + 98 = 0
0 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0 + 98
72i2 + -36i2x + 77x + -16x2 + x3 = 0 + 98

Combine like terms: 0 + 98 = 98
72i2 + -36i2x + 77x + -16x2 + x3 = 98

Add '-77x' to each side of the equation.
72i2 + -36i2x + 77x + -16x2 + -77x + x3 = 98 + -77x

Reorder the terms:
72i2 + -36i2x + 77x + -77x + -16x2 + x3 = 98 + -77x

Combine like terms: 77x + -77x = 0
72i2 + -36i2x + 0 + -16x2 + x3 = 98 + -77x
72i2 + -36i2x + -16x2 + x3 = 98 + -77x

Add '16x2' to each side of the equation.
72i2 + -36i2x + -16x2 + 16x2 + x3 = 98 + -77x + 16x2

Combine like terms: -16x2 + 16x2 = 0
72i2 + -36i2x + 0 + x3 = 98 + -77x + 16x2
72i2 + -36i2x + x3 = 98 + -77x + 16x2

Add '-1x3' to each side of the equation.
72i2 + -36i2x + x3 + -1x3 = 98 + -77x + 16x2 + -1x3

Combine like terms: x3 + -1x3 = 0
72i2 + -36i2x + 0 = 98 + -77x + 16x2 + -1x3
72i2 + -36i2x = 98 + -77x + 16x2 + -1x3

Reorder the terms:
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 98 + -77x + 16x2 + -1x3 + -98 + 77x + -16x2 + x3

Reorder the terms:
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 98 + -98 + -77x + 77x + 16x2 + -16x2 + -1x3 + x3

Combine like terms: 98 + -98 = 0
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0 + -77x + 77x + 16x2 + -16x2 + -1x3 + x3
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = -77x + 77x + 16x2 + -16x2 + -1x3 + x3

Combine like terms: -77x + 77x = 0
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0 + 16x2 + -16x2 + -1x3 + x3
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 16x2 + -16x2 + -1x3 + x3

Combine like terms: 16x2 + -16x2 = 0
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0 + -1x3 + x3
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-98 + 72i2 + -36i2x + 77x + -16x2 + x3 = 0

The solution to this equation could not be determined.

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