x^6+2x^3+183=0

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Solution for x^6+2x^3+183=0 equation:


Simplifying
x6 + 2x3 + 183 = 0

Reorder the terms:
183 + 2x3 + x6 = 0

Solving
183 + 2x3 + x6 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-183' to each side of the equation.
183 + 2x3 + -183 + x6 = 0 + -183

Reorder the terms:
183 + -183 + 2x3 + x6 = 0 + -183

Combine like terms: 183 + -183 = 0
0 + 2x3 + x6 = 0 + -183
2x3 + x6 = 0 + -183

Combine like terms: 0 + -183 = -183
2x3 + x6 = -183

The x term is 2x3.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x3 + 1 + x6 = -183 + 1

Reorder the terms:
1 + 2x3 + x6 = -183 + 1

Combine like terms: -183 + 1 = -182
1 + 2x3 + x6 = -182

Factor a perfect square on the left side:
(x3 + 1)(x3 + 1) = -182

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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