(x+1)(4-3i)(4+3i)=0

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Solution for (x+1)(4-3i)(4+3i)=0 equation:


Simplifying
(x + 1)(4 + -3i)(4 + 3i) = 0

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

Multiply (1 + x) * (4 + -3i)
(1(4 + -3i) + x(4 + -3i))(4 + 3i) = 0
((4 * 1 + -3i * 1) + x(4 + -3i))(4 + 3i) = 0
((4 + -3i) + x(4 + -3i))(4 + 3i) = 0
(4 + -3i + (4 * x + -3i * x))(4 + 3i) = 0

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

Multiply (4 + -3i + -3ix + 4x) * (4 + 3i)
(4(4 + 3i) + -3i * (4 + 3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0
((4 * 4 + 3i * 4) + -3i * (4 + 3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0
((16 + 12i) + -3i * (4 + 3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0
(16 + 12i + (4 * -3i + 3i * -3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0
(16 + 12i + (-12i + -9i2) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0
(16 + 12i + -12i + -9i2 + (4 * -3ix + 3i * -3ix) + 4x * (4 + 3i)) = 0
(16 + 12i + -12i + -9i2 + (-12ix + -9i2x) + 4x * (4 + 3i)) = 0
(16 + 12i + -12i + -9i2 + -12ix + -9i2x + (4 * 4x + 3i * 4x)) = 0

Reorder the terms:
(16 + 12i + -12i + -9i2 + -12ix + -9i2x + (12ix + 16x)) = 0
(16 + 12i + -12i + -9i2 + -12ix + -9i2x + (12ix + 16x)) = 0

Reorder the terms:
(16 + 12i + -12i + -12ix + 12ix + -9i2 + -9i2x + 16x) = 0

Combine like terms: 12i + -12i = 0
(16 + 0 + -12ix + 12ix + -9i2 + -9i2x + 16x) = 0
(16 + -12ix + 12ix + -9i2 + -9i2x + 16x) = 0

Combine like terms: -12ix + 12ix = 0
(16 + 0 + -9i2 + -9i2x + 16x) = 0
(16 + -9i2 + -9i2x + 16x) = 0

Solving
16 + -9i2 + -9i2x + 16x = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -9i2 + -9i2x + -16 + 16x = 0 + -16

Reorder the terms:
16 + -16 + -9i2 + -9i2x + 16x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9i2 + -9i2x + 16x = 0 + -16
-9i2 + -9i2x + 16x = 0 + -16

Combine like terms: 0 + -16 = -16
-9i2 + -9i2x + 16x = -16

Add '-16x' to each side of the equation.
-9i2 + -9i2x + 16x + -16x = -16 + -16x

Combine like terms: 16x + -16x = 0
-9i2 + -9i2x + 0 = -16 + -16x
-9i2 + -9i2x = -16 + -16x

Reorder the terms:
16 + -9i2 + -9i2x + 16x = -16 + -16x + 16 + 16x

Reorder the terms:
16 + -9i2 + -9i2x + 16x = -16 + 16 + -16x + 16x

Combine like terms: -16 + 16 = 0
16 + -9i2 + -9i2x + 16x = 0 + -16x + 16x
16 + -9i2 + -9i2x + 16x = -16x + 16x

Combine like terms: -16x + 16x = 0
16 + -9i2 + -9i2x + 16x = 0

The solution to this equation could not be determined.

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