x^4-8x^2+0.5=-16

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Solution for x^4-8x^2+0.5=-16 equation: 


Simplifying
x4 + -8x2 + 0.5 = -16

Reorder the terms:
0.5 + -8x2 + x4 = -16

Solving
0.5 + -8x2 + x4 = -16

Solving for variable 'x'.

Reorder the terms:
0.5 + 16 + -8x2 + x4 = -16 + 16

Combine like terms: 0.5 + 16 = 16.5
16.5 + -8x2 + x4 = -16 + 16

Combine like terms: -16 + 16 = 0
16.5 + -8x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + -8x2 + -16.5 + x4 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + -8x2 + x4 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -8x2 + x4 = 0 + -16.5
-8x2 + x4 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
-8x2 + x4 = -16.5

The x term is -8x2.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x2 + 16 + x4 = -16.5 + 16

Reorder the terms:
16 + -8x2 + x4 = -16.5 + 16

Combine like terms: -16.5 + 16 = -0.5
16 + -8x2 + x4 = -0.5

Factor a perfect square on the left side:
(x2 + -4)(x2 + -4) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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