(-3+4i)(-3-4i)(x+4)(x+4)=0

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Solution for (-3+4i)(-3-4i)(x+4)(x+4)=0 equation: 


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

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

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

Multiply (-3 + 4i) * (-3 + -4i)
(-3(-3 + -4i) + 4i * (-3 + -4i))(4 + x)(4 + x) = 0
((-3 * -3 + -4i * -3) + 4i * (-3 + -4i))(4 + x)(4 + x) = 0
((9 + 12i) + 4i * (-3 + -4i))(4 + x)(4 + x) = 0
(9 + 12i + (-3 * 4i + -4i * 4i))(4 + x)(4 + x) = 0
(9 + 12i + (-12i + -16i2))(4 + x)(4 + x) = 0

Combine like terms: 12i + -12i = 0
(9 + 0 + -16i2)(4 + x)(4 + x) = 0
(9 + -16i2)(4 + x)(4 + x) = 0

Multiply (9 + -16i2) * (4 + x)
(9(4 + x) + -16i2 * (4 + x))(4 + x) = 0
((4 * 9 + x * 9) + -16i2 * (4 + x))(4 + x) = 0
((36 + 9x) + -16i2 * (4 + x))(4 + x) = 0
(36 + 9x + (4 * -16i2 + x * -16i2))(4 + x) = 0
(36 + 9x + (-64i2 + -16i2x))(4 + x) = 0

Reorder the terms:
(36 + -64i2 + -16i2x + 9x)(4 + x) = 0
(36 + -64i2 + -16i2x + 9x)(4 + x) = 0

Multiply (36 + -64i2 + -16i2x + 9x) * (4 + x)
(36(4 + x) + -64i2 * (4 + x) + -16i2x * (4 + x) + 9x * (4 + x)) = 0
((4 * 36 + x * 36) + -64i2 * (4 + x) + -16i2x * (4 + x) + 9x * (4 + x)) = 0
((144 + 36x) + -64i2 * (4 + x) + -16i2x * (4 + x) + 9x * (4 + x)) = 0
(144 + 36x + (4 * -64i2 + x * -64i2) + -16i2x * (4 + x) + 9x * (4 + x)) = 0
(144 + 36x + (-256i2 + -64i2x) + -16i2x * (4 + x) + 9x * (4 + x)) = 0
(144 + 36x + -256i2 + -64i2x + (4 * -16i2x + x * -16i2x) + 9x * (4 + x)) = 0
(144 + 36x + -256i2 + -64i2x + (-64i2x + -16i2x2) + 9x * (4 + x)) = 0
(144 + 36x + -256i2 + -64i2x + -64i2x + -16i2x2 + (4 * 9x + x * 9x)) = 0
(144 + 36x + -256i2 + -64i2x + -64i2x + -16i2x2 + (36x + 9x2)) = 0

Reorder the terms:
(144 + -256i2 + -64i2x + -64i2x + -16i2x2 + 36x + 36x + 9x2) = 0

Combine like terms: -64i2x + -64i2x = -128i2x
(144 + -256i2 + -128i2x + -16i2x2 + 36x + 36x + 9x2) = 0

Combine like terms: 36x + 36x = 72x
(144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2) = 0

Solving
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0

Solving for variable 'i'.

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

Add '-144' to each side of the equation.
144 + -256i2 + -128i2x + -16i2x2 + 72x + -144 + 9x2 = 0 + -144

Reorder the terms:
144 + -144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0 + -144
-256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0 + -144

Combine like terms: 0 + -144 = -144
-256i2 + -128i2x + -16i2x2 + 72x + 9x2 = -144

Add '-72x' to each side of the equation.
-256i2 + -128i2x + -16i2x2 + 72x + -72x + 9x2 = -144 + -72x

Combine like terms: 72x + -72x = 0
-256i2 + -128i2x + -16i2x2 + 0 + 9x2 = -144 + -72x
-256i2 + -128i2x + -16i2x2 + 9x2 = -144 + -72x

Add '-9x2' to each side of the equation.
-256i2 + -128i2x + -16i2x2 + 9x2 + -9x2 = -144 + -72x + -9x2

Combine like terms: 9x2 + -9x2 = 0
-256i2 + -128i2x + -16i2x2 + 0 = -144 + -72x + -9x2
-256i2 + -128i2x + -16i2x2 = -144 + -72x + -9x2

Reorder the terms:
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = -144 + -72x + -9x2 + 144 + 72x + 9x2

Reorder the terms:
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = -144 + 144 + -72x + 72x + -9x2 + 9x2

Combine like terms: -144 + 144 = 0
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0 + -72x + 72x + -9x2 + 9x2
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = -72x + 72x + -9x2 + 9x2

Combine like terms: -72x + 72x = 0
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0 + -9x2 + 9x2
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
144 + -256i2 + -128i2x + -16i2x2 + 72x + 9x2 = 0

The solution to this equation could not be determined.

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