(x^2+4)(x^3-27i)=0

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Solution for (x^2+4)(x^3-27i)=0 equation:


Simplifying
(x2 + 4)(x3 + -27i) = 0

Reorder the terms:
(4 + x2)(x3 + -27i) = 0

Reorder the terms:
(4 + x2)(-27i + x3) = 0

Multiply (4 + x2) * (-27i + x3)
(4(-27i + x3) + x2(-27i + x3)) = 0
((-27i * 4 + x3 * 4) + x2(-27i + x3)) = 0
((-108i + 4x3) + x2(-27i + x3)) = 0
(-108i + 4x3 + (-27i * x2 + x3 * x2)) = 0
(-108i + 4x3 + (-27ix2 + x5)) = 0

Reorder the terms:
(-108i + -27ix2 + 4x3 + x5) = 0
(-108i + -27ix2 + 4x3 + x5) = 0

Solving
-108i + -27ix2 + 4x3 + x5 = 0

Solving for variable 'i'.

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

Add '-4x3' to each side of the equation.
-108i + -27ix2 + 4x3 + -4x3 + x5 = 0 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-108i + -27ix2 + 0 + x5 = 0 + -4x3
-108i + -27ix2 + x5 = 0 + -4x3
Remove the zero:
-108i + -27ix2 + x5 = -4x3

Add '-1x5' to each side of the equation.
-108i + -27ix2 + x5 + -1x5 = -4x3 + -1x5

Combine like terms: x5 + -1x5 = 0
-108i + -27ix2 + 0 = -4x3 + -1x5
-108i + -27ix2 = -4x3 + -1x5

Reorder the terms:
-108i + -27ix2 + 4x3 + x5 = -4x3 + 4x3 + -1x5 + x5

Combine like terms: -4x3 + 4x3 = 0
-108i + -27ix2 + 4x3 + x5 = 0 + -1x5 + x5
-108i + -27ix2 + 4x3 + x5 = -1x5 + x5

Combine like terms: -1x5 + x5 = 0
-108i + -27ix2 + 4x3 + x5 = 0

The solution to this equation could not be determined.

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