(2+3i)(3x^4-11x^3+35x^2+21x-26)=0

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Solution for (2+3i)(3x^4-11x^3+35x^2+21x-26)=0 equation: 


Simplifying
(2 + 3i)(3x4 + -11x3 + 35x2 + 21x + -26) = 0

Reorder the terms:
(2 + 3i)(-26 + 21x + 35x2 + -11x3 + 3x4) = 0

Multiply (2 + 3i) * (-26 + 21x + 35x2 + -11x3 + 3x4)
(2(-26 + 21x + 35x2 + -11x3 + 3x4) + 3i * (-26 + 21x + 35x2 + -11x3 + 3x4)) = 0
((-26 * 2 + 21x * 2 + 35x2 * 2 + -11x3 * 2 + 3x4 * 2) + 3i * (-26 + 21x + 35x2 + -11x3 + 3x4)) = 0
((-52 + 42x + 70x2 + -22x3 + 6x4) + 3i * (-26 + 21x + 35x2 + -11x3 + 3x4)) = 0
(-52 + 42x + 70x2 + -22x3 + 6x4 + (-26 * 3i + 21x * 3i + 35x2 * 3i + -11x3 * 3i + 3x4 * 3i)) = 0
(-52 + 42x + 70x2 + -22x3 + 6x4 + (-78i + 63ix + 105ix2 + -33ix3 + 9ix4)) = 0

Reorder the terms:
(-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4) = 0
(-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4) = 0

Solving
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0

Solving for variable 'i'.

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

Add '52' to each side of the equation.
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 52 + 6x4 = 0 + 52

Reorder the terms:
-52 + 52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + 52

Combine like terms: -52 + 52 = 0
0 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + 52
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + 52

Combine like terms: 0 + 52 = 52
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 52

Add '-42x' to each side of the equation.
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + -42x + 6x4 = 52 + -42x

Reorder the terms:
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + -42x + 70x2 + -22x3 + 6x4 = 52 + -42x

Combine like terms: 42x + -42x = 0
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 0 + 70x2 + -22x3 + 6x4 = 52 + -42x
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 70x2 + -22x3 + 6x4 = 52 + -42x

Add '-70x2' to each side of the equation.
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 70x2 + -22x3 + -70x2 + 6x4 = 52 + -42x + -70x2

Reorder the terms:
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 70x2 + -70x2 + -22x3 + 6x4 = 52 + -42x + -70x2

Combine like terms: 70x2 + -70x2 = 0
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 0 + -22x3 + 6x4 = 52 + -42x + -70x2
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + -22x3 + 6x4 = 52 + -42x + -70x2

Add '22x3' to each side of the equation.
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + -22x3 + 22x3 + 6x4 = 52 + -42x + -70x2 + 22x3

Combine like terms: -22x3 + 22x3 = 0
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 0 + 6x4 = 52 + -42x + -70x2 + 22x3
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 6x4 = 52 + -42x + -70x2 + 22x3

Add '-6x4' to each side of the equation.
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 6x4 + -6x4 = 52 + -42x + -70x2 + 22x3 + -6x4

Combine like terms: 6x4 + -6x4 = 0
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 0 = 52 + -42x + -70x2 + 22x3 + -6x4
-78i + 63ix + 105ix2 + -33ix3 + 9ix4 = 52 + -42x + -70x2 + 22x3 + -6x4

Reorder the terms:
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 52 + -42x + -70x2 + 22x3 + -6x4 + -52 + 42x + 70x2 + -22x3 + 6x4

Reorder the terms:
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 52 + -52 + -42x + 42x + -70x2 + 70x2 + 22x3 + -22x3 + -6x4 + 6x4

Combine like terms: 52 + -52 = 0
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + -42x + 42x + -70x2 + 70x2 + 22x3 + -22x3 + -6x4 + 6x4
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = -42x + 42x + -70x2 + 70x2 + 22x3 + -22x3 + -6x4 + 6x4

Combine like terms: -42x + 42x = 0
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + -70x2 + 70x2 + 22x3 + -22x3 + -6x4 + 6x4
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = -70x2 + 70x2 + 22x3 + -22x3 + -6x4 + 6x4

Combine like terms: -70x2 + 70x2 = 0
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + 22x3 + -22x3 + -6x4 + 6x4
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 22x3 + -22x3 + -6x4 + 6x4

Combine like terms: 22x3 + -22x3 = 0
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0 + -6x4 + 6x4
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = -6x4 + 6x4

Combine like terms: -6x4 + 6x4 = 0
-52 + -78i + 63ix + 105ix2 + -33ix3 + 9ix4 + 42x + 70x2 + -22x3 + 6x4 = 0

The solution to this equation could not be determined.

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