x^4+64x^2+4356=0

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Solution for x^4+64x^2+4356=0 equation:


Simplifying
x4 + 64x2 + 4356 = 0

Reorder the terms:
4356 + 64x2 + x4 = 0

Solving
4356 + 64x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4356' to each side of the equation.
4356 + 64x2 + -4356 + x4 = 0 + -4356

Reorder the terms:
4356 + -4356 + 64x2 + x4 = 0 + -4356

Combine like terms: 4356 + -4356 = 0
0 + 64x2 + x4 = 0 + -4356
64x2 + x4 = 0 + -4356

Combine like terms: 0 + -4356 = -4356
64x2 + x4 = -4356

The x term is 64x2.  Take half its coefficient (32).
Square it (1024) and add it to both sides.

Add '1024' to each side of the equation.
64x2 + 1024 + x4 = -4356 + 1024

Reorder the terms:
1024 + 64x2 + x4 = -4356 + 1024

Combine like terms: -4356 + 1024 = -3332
1024 + 64x2 + x4 = -3332

Factor a perfect square on the left side:
(x2 + 32)(x2 + 32) = -3332

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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