X^4-2ax^2-a+2=0

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Solution for X^4-2ax^2-a+2=0 equation:


Simplifying
X4 + -2ax2 + -1a + 2 = 0

Reorder the terms:
2 + X4 + -1a + -2ax2 = 0

Solving
2 + X4 + -1a + -2ax2 = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X4 + -1a + -2 + -2ax2 = 0 + -2

Reorder the terms:
2 + -2 + X4 + -1a + -2ax2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X4 + -1a + -2ax2 = 0 + -2
X4 + -1a + -2ax2 = 0 + -2

Combine like terms: 0 + -2 = -2
X4 + -1a + -2ax2 = -2

Add 'a' to each side of the equation.
X4 + -1a + a + -2ax2 = -2 + a

Combine like terms: -1a + a = 0
X4 + 0 + -2ax2 = -2 + a
X4 + -2ax2 = -2 + a

Add '2ax2' to each side of the equation.
X4 + -2ax2 + 2ax2 = -2 + a + 2ax2

Combine like terms: -2ax2 + 2ax2 = 0
X4 + 0 = -2 + a + 2ax2
X4 = -2 + a + 2ax2

Simplifying
X4 = -2 + a + 2ax2

Reorder the terms:
2 + X4 + -1a + -2ax2 = -2 + a + 2ax2 + 2 + -1a + -2ax2

Reorder the terms:
2 + X4 + -1a + -2ax2 = -2 + 2 + a + -1a + 2ax2 + -2ax2

Combine like terms: -2 + 2 = 0
2 + X4 + -1a + -2ax2 = 0 + a + -1a + 2ax2 + -2ax2
2 + X4 + -1a + -2ax2 = a + -1a + 2ax2 + -2ax2

Combine like terms: a + -1a = 0
2 + X4 + -1a + -2ax2 = 0 + 2ax2 + -2ax2
2 + X4 + -1a + -2ax2 = 2ax2 + -2ax2

Combine like terms: 2ax2 + -2ax2 = 0
2 + X4 + -1a + -2ax2 = 0

The solution to this equation could not be determined.

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