(x+2)(x-7-4i)(x-7+4i)=

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Solution for (x+2)(x-7-4i)(x-7+4i)= equation:


Simplifying
(x + 2)(x + -7 + -4i)(x + -7 + 4i) = 0

Reorder the terms:
(2 + x)(x + -7 + -4i)(x + -7 + 4i) = 0

Reorder the terms:
(2 + x)(-7 + -4i + x)(x + -7 + 4i) = 0

Reorder the terms:
(2 + x)(-7 + -4i + x)(-7 + 4i + x) = 0

Multiply (2 + x) * (-7 + -4i + x)
(2(-7 + -4i + x) + x(-7 + -4i + x))(-7 + 4i + x) = 0
((-7 * 2 + -4i * 2 + x * 2) + x(-7 + -4i + x))(-7 + 4i + x) = 0
((-14 + -8i + 2x) + x(-7 + -4i + x))(-7 + 4i + x) = 0
(-14 + -8i + 2x + (-7 * x + -4i * x + x * x))(-7 + 4i + x) = 0

Reorder the terms:
(-14 + -8i + 2x + (-4ix + -7x + x2))(-7 + 4i + x) = 0
(-14 + -8i + 2x + (-4ix + -7x + x2))(-7 + 4i + x) = 0

Reorder the terms:
(-14 + -8i + -4ix + 2x + -7x + x2)(-7 + 4i + x) = 0

Combine like terms: 2x + -7x = -5x
(-14 + -8i + -4ix + -5x + x2)(-7 + 4i + x) = 0

Multiply (-14 + -8i + -4ix + -5x + x2) * (-7 + 4i + x)
(-14(-7 + 4i + x) + -8i * (-7 + 4i + x) + -4ix * (-7 + 4i + x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
((-7 * -14 + 4i * -14 + x * -14) + -8i * (-7 + 4i + x) + -4ix * (-7 + 4i + x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
((98 + -56i + -14x) + -8i * (-7 + 4i + x) + -4ix * (-7 + 4i + x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + (-7 * -8i + 4i * -8i + x * -8i) + -4ix * (-7 + 4i + x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0

Reorder the terms:
(98 + -56i + -14x + (56i + -8ix + -32i2) + -4ix * (-7 + 4i + x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + (56i + -8ix + -32i2) + -4ix * (-7 + 4i + x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + 56i + -8ix + -32i2 + (-7 * -4ix + 4i * -4ix + x * -4ix) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0

Reorder the terms:
(98 + -56i + -14x + 56i + -8ix + -32i2 + (28ix + -4ix2 + -16i2x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + 56i + -8ix + -32i2 + (28ix + -4ix2 + -16i2x) + -5x * (-7 + 4i + x) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + 56i + -8ix + -32i2 + 28ix + -4ix2 + -16i2x + (-7 * -5x + 4i * -5x + x * -5x) + x2(-7 + 4i + x)) = 0

Reorder the terms:
(98 + -56i + -14x + 56i + -8ix + -32i2 + 28ix + -4ix2 + -16i2x + (-20ix + 35x + -5x2) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + 56i + -8ix + -32i2 + 28ix + -4ix2 + -16i2x + (-20ix + 35x + -5x2) + x2(-7 + 4i + x)) = 0
(98 + -56i + -14x + 56i + -8ix + -32i2 + 28ix + -4ix2 + -16i2x + -20ix + 35x + -5x2 + (-7 * x2 + 4i * x2 + x * x2)) = 0

Reorder the terms:
(98 + -56i + -14x + 56i + -8ix + -32i2 + 28ix + -4ix2 + -16i2x + -20ix + 35x + -5x2 + (4ix2 + -7x2 + x3)) = 0
(98 + -56i + -14x + 56i + -8ix + -32i2 + 28ix + -4ix2 + -16i2x + -20ix + 35x + -5x2 + (4ix2 + -7x2 + x3)) = 0

Reorder the terms:
(98 + -56i + 56i + -8ix + 28ix + -20ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0

Combine like terms: -56i + 56i = 0
(98 + 0 + -8ix + 28ix + -20ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0
(98 + -8ix + 28ix + -20ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0

Combine like terms: -8ix + 28ix = 20ix
(98 + 20ix + -20ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0

Combine like terms: 20ix + -20ix = 0
(98 + 0 + -4ix2 + 4ix2 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0
(98 + -4ix2 + 4ix2 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(98 + 0 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0
(98 + -32i2 + -16i2x + -14x + 35x + -5x2 + -7x2 + x3) = 0

Combine like terms: -14x + 35x = 21x
(98 + -32i2 + -16i2x + 21x + -5x2 + -7x2 + x3) = 0

Combine like terms: -5x2 + -7x2 = -12x2
(98 + -32i2 + -16i2x + 21x + -12x2 + x3) = 0

Solving
98 + -32i2 + -16i2x + 21x + -12x2 + 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 + -32i2 + -16i2x + 21x + -12x2 + -98 + x3 = 0 + -98

Reorder the terms:
98 + -98 + -32i2 + -16i2x + 21x + -12x2 + x3 = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -32i2 + -16i2x + 21x + -12x2 + x3 = 0 + -98
-32i2 + -16i2x + 21x + -12x2 + x3 = 0 + -98

Combine like terms: 0 + -98 = -98
-32i2 + -16i2x + 21x + -12x2 + x3 = -98

Add '-21x' to each side of the equation.
-32i2 + -16i2x + 21x + -12x2 + -21x + x3 = -98 + -21x

Reorder the terms:
-32i2 + -16i2x + 21x + -21x + -12x2 + x3 = -98 + -21x

Combine like terms: 21x + -21x = 0
-32i2 + -16i2x + 0 + -12x2 + x3 = -98 + -21x
-32i2 + -16i2x + -12x2 + x3 = -98 + -21x

Add '12x2' to each side of the equation.
-32i2 + -16i2x + -12x2 + 12x2 + x3 = -98 + -21x + 12x2

Combine like terms: -12x2 + 12x2 = 0
-32i2 + -16i2x + 0 + x3 = -98 + -21x + 12x2
-32i2 + -16i2x + x3 = -98 + -21x + 12x2

Add '-1x3' to each side of the equation.
-32i2 + -16i2x + x3 + -1x3 = -98 + -21x + 12x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-32i2 + -16i2x + 0 = -98 + -21x + 12x2 + -1x3
-32i2 + -16i2x = -98 + -21x + 12x2 + -1x3

Reorder the terms:
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = -98 + -21x + 12x2 + -1x3 + 98 + 21x + -12x2 + x3

Reorder the terms:
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = -98 + 98 + -21x + 21x + 12x2 + -12x2 + -1x3 + x3

Combine like terms: -98 + 98 = 0
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = 0 + -21x + 21x + 12x2 + -12x2 + -1x3 + x3
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = -21x + 21x + 12x2 + -12x2 + -1x3 + x3

Combine like terms: -21x + 21x = 0
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = 0 + 12x2 + -12x2 + -1x3 + x3
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = 12x2 + -12x2 + -1x3 + x3

Combine like terms: 12x2 + -12x2 = 0
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = 0 + -1x3 + x3
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
98 + -32i2 + -16i2x + 21x + -12x2 + x3 = 0

The solution to this equation could not be determined.

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