(x+7)(x-11)(x+2+6i)=

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Solution for (x+7)(x-11)(x+2+6i)= equation:


Simplifying
(x + 7)(x + -11)(x + 2 + 6i) = 0

Reorder the terms:
(7 + x)(x + -11)(x + 2 + 6i) = 0

Reorder the terms:
(7 + x)(-11 + x)(x + 2 + 6i) = 0

Reorder the terms:
(7 + x)(-11 + x)(2 + 6i + x) = 0

Multiply (7 + x) * (-11 + x)
(7(-11 + x) + x(-11 + x))(2 + 6i + x) = 0
((-11 * 7 + x * 7) + x(-11 + x))(2 + 6i + x) = 0
((-77 + 7x) + x(-11 + x))(2 + 6i + x) = 0
(-77 + 7x + (-11 * x + x * x))(2 + 6i + x) = 0
(-77 + 7x + (-11x + x2))(2 + 6i + x) = 0

Combine like terms: 7x + -11x = -4x
(-77 + -4x + x2)(2 + 6i + x) = 0

Multiply (-77 + -4x + x2) * (2 + 6i + x)
(-77(2 + 6i + x) + -4x * (2 + 6i + x) + x2(2 + 6i + x)) = 0
((2 * -77 + 6i * -77 + x * -77) + -4x * (2 + 6i + x) + x2(2 + 6i + x)) = 0
((-154 + -462i + -77x) + -4x * (2 + 6i + x) + x2(2 + 6i + x)) = 0
(-154 + -462i + -77x + (2 * -4x + 6i * -4x + x * -4x) + x2(2 + 6i + x)) = 0

Reorder the terms:
(-154 + -462i + -77x + (-24ix + -8x + -4x2) + x2(2 + 6i + x)) = 0
(-154 + -462i + -77x + (-24ix + -8x + -4x2) + x2(2 + 6i + x)) = 0
(-154 + -462i + -77x + -24ix + -8x + -4x2 + (2 * x2 + 6i * x2 + x * x2)) = 0

Reorder the terms:
(-154 + -462i + -77x + -24ix + -8x + -4x2 + (6ix2 + 2x2 + x3)) = 0
(-154 + -462i + -77x + -24ix + -8x + -4x2 + (6ix2 + 2x2 + x3)) = 0

Reorder the terms:
(-154 + -462i + -24ix + 6ix2 + -77x + -8x + -4x2 + 2x2 + x3) = 0

Combine like terms: -77x + -8x = -85x
(-154 + -462i + -24ix + 6ix2 + -85x + -4x2 + 2x2 + x3) = 0

Combine like terms: -4x2 + 2x2 = -2x2
(-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3) = 0

Solving
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0

Solving for variable 'i'.

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

Add '154' to each side of the equation.
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + 154 + x3 = 0 + 154

Reorder the terms:
-154 + 154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0 + 154

Combine like terms: -154 + 154 = 0
0 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0 + 154
-462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0 + 154

Combine like terms: 0 + 154 = 154
-462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 154

Add '85x' to each side of the equation.
-462i + -24ix + 6ix2 + -85x + -2x2 + 85x + x3 = 154 + 85x

Reorder the terms:
-462i + -24ix + 6ix2 + -85x + 85x + -2x2 + x3 = 154 + 85x

Combine like terms: -85x + 85x = 0
-462i + -24ix + 6ix2 + 0 + -2x2 + x3 = 154 + 85x
-462i + -24ix + 6ix2 + -2x2 + x3 = 154 + 85x

Add '2x2' to each side of the equation.
-462i + -24ix + 6ix2 + -2x2 + 2x2 + x3 = 154 + 85x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-462i + -24ix + 6ix2 + 0 + x3 = 154 + 85x + 2x2
-462i + -24ix + 6ix2 + x3 = 154 + 85x + 2x2

Add '-1x3' to each side of the equation.
-462i + -24ix + 6ix2 + x3 + -1x3 = 154 + 85x + 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-462i + -24ix + 6ix2 + 0 = 154 + 85x + 2x2 + -1x3
-462i + -24ix + 6ix2 = 154 + 85x + 2x2 + -1x3

Reorder the terms:
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 154 + 85x + 2x2 + -1x3 + -154 + -85x + -2x2 + x3

Reorder the terms:
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 154 + -154 + 85x + -85x + 2x2 + -2x2 + -1x3 + x3

Combine like terms: 154 + -154 = 0
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0 + 85x + -85x + 2x2 + -2x2 + -1x3 + x3
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 85x + -85x + 2x2 + -2x2 + -1x3 + x3

Combine like terms: 85x + -85x = 0
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0 + 2x2 + -2x2 + -1x3 + x3
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 2x2 + -2x2 + -1x3 + x3

Combine like terms: 2x2 + -2x2 = 0
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0 + -1x3 + x3
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-154 + -462i + -24ix + 6ix2 + -85x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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