x^14-12x^7+50=0

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Solution for x^14-12x^7+50=0 equation:


Simplifying
x14 + -12x7 + 50 = 0

Reorder the terms:
50 + -12x7 + x14 = 0

Solving
50 + -12x7 + x14 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -12x7 + -50 + x14 = 0 + -50

Reorder the terms:
50 + -50 + -12x7 + x14 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -12x7 + x14 = 0 + -50
-12x7 + x14 = 0 + -50

Combine like terms: 0 + -50 = -50
-12x7 + x14 = -50

The x term is -12x7.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x7 + 36 + x14 = -50 + 36

Reorder the terms:
36 + -12x7 + x14 = -50 + 36

Combine like terms: -50 + 36 = -14
36 + -12x7 + x14 = -14

Factor a perfect square on the left side:
(x7 + -6)(x7 + -6) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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