A^4-4a^3+8a^2-8a+4=0

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Solution for A^4-4a^3+8a^2-8a+4=0 equation: 


Simplifying
A4 + -4a3 + 8a2 + -8a + 4 = 0

Reorder the terms:
4 + A4 + -8a + 8a2 + -4a3 = 0

Solving
4 + A4 + -8a + 8a2 + -4a3 = 0

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + A4 + -8a + 8a2 + -4 + -4a3 = 0 + -4

Reorder the terms:
4 + -4 + A4 + -8a + 8a2 + -4a3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + A4 + -8a + 8a2 + -4a3 = 0 + -4
A4 + -8a + 8a2 + -4a3 = 0 + -4

Combine like terms: 0 + -4 = -4
A4 + -8a + 8a2 + -4a3 = -4

Add '8a' to each side of the equation.
A4 + -8a + 8a2 + 8a + -4a3 = -4 + 8a

Reorder the terms:
A4 + -8a + 8a + 8a2 + -4a3 = -4 + 8a

Combine like terms: -8a + 8a = 0
A4 + 0 + 8a2 + -4a3 = -4 + 8a
A4 + 8a2 + -4a3 = -4 + 8a

Add '-8a2' to each side of the equation.
A4 + 8a2 + -8a2 + -4a3 = -4 + 8a + -8a2

Combine like terms: 8a2 + -8a2 = 0
A4 + 0 + -4a3 = -4 + 8a + -8a2
A4 + -4a3 = -4 + 8a + -8a2

Add '4a3' to each side of the equation.
A4 + -4a3 + 4a3 = -4 + 8a + -8a2 + 4a3

Combine like terms: -4a3 + 4a3 = 0
A4 + 0 = -4 + 8a + -8a2 + 4a3
A4 = -4 + 8a + -8a2 + 4a3

Simplifying
A4 = -4 + 8a + -8a2 + 4a3

Reorder the terms:
4 + A4 + -8a + 8a2 + -4a3 = -4 + 8a + -8a2 + 4a3 + 4 + -8a + 8a2 + -4a3

Reorder the terms:
4 + A4 + -8a + 8a2 + -4a3 = -4 + 4 + 8a + -8a + -8a2 + 8a2 + 4a3 + -4a3

Combine like terms: -4 + 4 = 0
4 + A4 + -8a + 8a2 + -4a3 = 0 + 8a + -8a + -8a2 + 8a2 + 4a3 + -4a3
4 + A4 + -8a + 8a2 + -4a3 = 8a + -8a + -8a2 + 8a2 + 4a3 + -4a3

Combine like terms: 8a + -8a = 0
4 + A4 + -8a + 8a2 + -4a3 = 0 + -8a2 + 8a2 + 4a3 + -4a3
4 + A4 + -8a + 8a2 + -4a3 = -8a2 + 8a2 + 4a3 + -4a3

Combine like terms: -8a2 + 8a2 = 0
4 + A4 + -8a + 8a2 + -4a3 = 0 + 4a3 + -4a3
4 + A4 + -8a + 8a2 + -4a3 = 4a3 + -4a3

Combine like terms: 4a3 + -4a3 = 0
4 + A4 + -8a + 8a2 + -4a3 = 0

The solution to this equation could not be determined.

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