0.8x^4=0.5x^2-5

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Solution for 0.8x^4=0.5x^2-5 equation: 


Simplifying
0.8x4 = 0.5x2 + -5

Reorder the terms:
0.8x4 = -5 + 0.5x2

Solving
0.8x4 = -5 + 0.5x2

Solving for variable 'x'.

Reorder the terms:
5 + -0.5x2 + 0.8x4 = -5 + 0.5x2 + 5 + -0.5x2

Reorder the terms:
5 + -0.5x2 + 0.8x4 = -5 + 5 + 0.5x2 + -0.5x2

Combine like terms: -5 + 5 = 0
5 + -0.5x2 + 0.8x4 = 0 + 0.5x2 + -0.5x2
5 + -0.5x2 + 0.8x4 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
5 + -0.5x2 + 0.8x4 = 0.0

Begin completing the square.  Divide all terms by
0.8 the coefficient of the squared term: 

Divide each side by '0.8'.
6.25 + -0.625x2 + x4 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -0.625x2 + -6.25 + x4 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -0.625x2 + x4 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -0.625x2 + x4 = 0 + -6.25
-0.625x2 + x4 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-0.625x2 + x4 = -6.25

The x term is -0.625x2.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x2 + 0.09765625 + x4 = -6.25 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x2 + x4 = -6.25 + 0.09765625

Combine like terms: -6.25 + 0.09765625 = -6.15234375
0.09765625 + -0.625x2 + x4 = -6.15234375

Factor a perfect square on the left side:
(x2 + -0.3125)(x2 + -0.3125) = -6.15234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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