225x^8-224x^4+64=0

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Solution for 225x^8-224x^4+64=0 equation: 


Simplifying
225x8 + -224x4 + 64 = 0

Reorder the terms:
64 + -224x4 + 225x8 = 0

Solving
64 + -224x4 + 225x8 = 0

Solving for variable 'x'.

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

Divide each side by '225'.
0.2844444444 + -0.9955555556x4 + x8 = 0

Move the constant term to the right:

Add '-0.2844444444' to each side of the equation.
0.2844444444 + -0.9955555556x4 + -0.2844444444 + x8 = 0 + -0.2844444444

Reorder the terms:
0.2844444444 + -0.2844444444 + -0.9955555556x4 + x8 = 0 + -0.2844444444

Combine like terms: 0.2844444444 + -0.2844444444 = 0.0000000000
0.0000000000 + -0.9955555556x4 + x8 = 0 + -0.2844444444
-0.9955555556x4 + x8 = 0 + -0.2844444444

Combine like terms: 0 + -0.2844444444 = -0.2844444444
-0.9955555556x4 + x8 = -0.2844444444

The x term is -0.9955555556x4.  Take half its coefficient (-0.4977777778).
Square it (0.2477827161) and add it to both sides.

Add '0.2477827161' to each side of the equation.
-0.9955555556x4 + 0.2477827161 + x8 = -0.2844444444 + 0.2477827161

Reorder the terms:
0.2477827161 + -0.9955555556x4 + x8 = -0.2844444444 + 0.2477827161

Combine like terms: -0.2844444444 + 0.2477827161 = -0.0366617283
0.2477827161 + -0.9955555556x4 + x8 = -0.0366617283

Factor a perfect square on the left side:
(x4 + -0.4977777778)(x4 + -0.4977777778) = -0.0366617283

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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