v^6+v^3+77=0

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Solution for v^6+v^3+77=0 equation:


Simplifying
v6 + v3 + 77 = 0

Reorder the terms:
77 + v3 + v6 = 0

Solving
77 + v3 + v6 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-77' to each side of the equation.
77 + v3 + -77 + v6 = 0 + -77

Reorder the terms:
77 + -77 + v3 + v6 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + v3 + v6 = 0 + -77
v3 + v6 = 0 + -77

Combine like terms: 0 + -77 = -77
v3 + v6 = -77

The v term is v3.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
v3 + 0.25 + v6 = -77 + 0.25

Reorder the terms:
0.25 + v3 + v6 = -77 + 0.25

Combine like terms: -77 + 0.25 = -76.75
0.25 + v3 + v6 = -76.75

Factor a perfect square on the left side:
(v3 + 0.5)(v3 + 0.5) = -76.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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