(X+4)(x-3-5i)(x-3+5i)=

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Solution for (X+4)(x-3-5i)(x-3+5i)= equation: 


Simplifying
(X + 4)(x + -3 + -5i)(x + -3 + 5i) = 0

Reorder the terms:
(4 + X)(x + -3 + -5i)(x + -3 + 5i) = 0

Reorder the terms:
(4 + X)(-3 + -5i + x)(x + -3 + 5i) = 0

Reorder the terms:
(4 + X)(-3 + -5i + x)(-3 + 5i + x) = 0

Multiply (4 + X) * (-3 + -5i + x)
(4(-3 + -5i + x) + X(-3 + -5i + x))(-3 + 5i + x) = 0
((-3 * 4 + -5i * 4 + x * 4) + X(-3 + -5i + x))(-3 + 5i + x) = 0
((-12 + -20i + 4x) + X(-3 + -5i + x))(-3 + 5i + x) = 0
(-12 + -20i + 4x + (-3 * X + -5i * X + x * X))(-3 + 5i + x) = 0
(-12 + -20i + 4x + (-3X + -5iX + xX))(-3 + 5i + x) = 0

Reorder the terms:
(-12 + -3X + -20i + -5iX + 4x + xX)(-3 + 5i + x) = 0
(-12 + -3X + -20i + -5iX + 4x + xX)(-3 + 5i + x) = 0

Multiply (-12 + -3X + -20i + -5iX + 4x + xX) * (-3 + 5i + x)
(-12(-3 + 5i + x) + -3X * (-3 + 5i + x) + -20i * (-3 + 5i + x) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
((-3 * -12 + 5i * -12 + x * -12) + -3X * (-3 + 5i + x) + -20i * (-3 + 5i + x) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
((36 + -60i + -12x) + -3X * (-3 + 5i + x) + -20i * (-3 + 5i + x) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + (-3 * -3X + 5i * -3X + x * -3X) + -20i * (-3 + 5i + x) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + (9X + -15iX + -3xX) + -20i * (-3 + 5i + x) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + (-3 * -20i + 5i * -20i + x * -20i) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 9X + -15iX + -3xX + (60i + -20ix + -100i2) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + (60i + -20ix + -100i2) + -5iX * (-3 + 5i + x) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + (-3 * -5iX + 5i * -5iX + x * -5iX) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + (15iX + -5ixX + -25i2X) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + (15iX + -5ixX + -25i2X) + 4x * (-3 + 5i + x) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + 15iX + -5ixX + -25i2X + (-3 * 4x + 5i * 4x + x * 4x) + xX(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + 15iX + -5ixX + -25i2X + (20ix + -12x + 4x2) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + 15iX + -5ixX + -25i2X + (20ix + -12x + 4x2) + xX(-3 + 5i + x)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + 15iX + -5ixX + -25i2X + 20ix + -12x + 4x2 + (-3 * xX + 5i * xX + x * xX)) = 0

Reorder the terms:
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + 15iX + -5ixX + -25i2X + 20ix + -12x + 4x2 + (5ixX + -3xX + x2X)) = 0
(36 + -60i + -12x + 9X + -15iX + -3xX + 60i + -20ix + -100i2 + 15iX + -5ixX + -25i2X + 20ix + -12x + 4x2 + (5ixX + -3xX + x2X)) = 0

Reorder the terms:
(36 + 9X + -60i + 60i + -15iX + 15iX + -20ix + 20ix + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0

Combine like terms: -60i + 60i = 0
(36 + 9X + 0 + -15iX + 15iX + -20ix + 20ix + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0
(36 + 9X + -15iX + 15iX + -20ix + 20ix + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0

Combine like terms: -15iX + 15iX = 0
(36 + 9X + 0 + -20ix + 20ix + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0
(36 + 9X + -20ix + 20ix + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0

Combine like terms: -20ix + 20ix = 0
(36 + 9X + 0 + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0
(36 + 9X + -5ixX + 5ixX + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0

Combine like terms: -5ixX + 5ixX = 0
(36 + 9X + 0 + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0
(36 + 9X + -100i2 + -25i2X + -12x + -12x + -3xX + -3xX + 4x2 + x2X) = 0

Combine like terms: -12x + -12x = -24x
(36 + 9X + -100i2 + -25i2X + -24x + -3xX + -3xX + 4x2 + x2X) = 0

Combine like terms: -3xX + -3xX = -6xX
(36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X) = 0

Solving
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + -36 + x2X = 0 + -36

Reorder the terms:
36 + -36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0 + -36
9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0 + -36

Combine like terms: 0 + -36 = -36
9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = -36

Add '100i2' to each side of the equation.
9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + 100i2 + x2X = -36 + 100i2

Reorder the terms:
9X + -100i2 + 100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = -36 + 100i2

Combine like terms: -100i2 + 100i2 = 0
9X + 0 + -25i2X + -24x + -6xX + 4x2 + x2X = -36 + 100i2
9X + -25i2X + -24x + -6xX + 4x2 + x2X = -36 + 100i2

Add '24x' to each side of the equation.
9X + -25i2X + -24x + -6xX + 4x2 + 24x + x2X = -36 + 100i2 + 24x

Reorder the terms:
9X + -25i2X + -24x + 24x + -6xX + 4x2 + x2X = -36 + 100i2 + 24x

Combine like terms: -24x + 24x = 0
9X + -25i2X + 0 + -6xX + 4x2 + x2X = -36 + 100i2 + 24x
9X + -25i2X + -6xX + 4x2 + x2X = -36 + 100i2 + 24x

Add '-4x2' to each side of the equation.
9X + -25i2X + -6xX + 4x2 + -4x2 + x2X = -36 + 100i2 + 24x + -4x2

Combine like terms: 4x2 + -4x2 = 0
9X + -25i2X + -6xX + 0 + x2X = -36 + 100i2 + 24x + -4x2
9X + -25i2X + -6xX + x2X = -36 + 100i2 + 24x + -4x2

Reorder the terms:
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = -36 + 100i2 + 24x + -4x2 + 36 + -100i2 + -24x + 4x2

Reorder the terms:
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = -36 + 36 + 100i2 + -100i2 + 24x + -24x + -4x2 + 4x2

Combine like terms: -36 + 36 = 0
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0 + 100i2 + -100i2 + 24x + -24x + -4x2 + 4x2
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 100i2 + -100i2 + 24x + -24x + -4x2 + 4x2

Combine like terms: 100i2 + -100i2 = 0
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0 + 24x + -24x + -4x2 + 4x2
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 24x + -24x + -4x2 + 4x2

Combine like terms: 24x + -24x = 0
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0 + -4x2 + 4x2
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
36 + 9X + -100i2 + -25i2X + -24x + -6xX + 4x2 + x2X = 0

The solution to this equation could not be determined.

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