X^2-6x+9-a^2+2a-1=0

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Solution for X^2-6x+9-a^2+2a-1=0 equation:


Simplifying
X2 + -6x + 9 + -1a2 + 2a + -1 = 0

Reorder the terms:
9 + -1 + X2 + 2a + -1a2 + -6x = 0

Combine like terms: 9 + -1 = 8
8 + X2 + 2a + -1a2 + -6x = 0

Solving
8 + X2 + 2a + -1a2 + -6x = 0

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + X2 + 2a + -1a2 + -8 + -6x = 0 + -8

Reorder the terms:
8 + -8 + X2 + 2a + -1a2 + -6x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + X2 + 2a + -1a2 + -6x = 0 + -8
X2 + 2a + -1a2 + -6x = 0 + -8

Combine like terms: 0 + -8 = -8
X2 + 2a + -1a2 + -6x = -8

Add '-2a' to each side of the equation.
X2 + 2a + -1a2 + -2a + -6x = -8 + -2a

Reorder the terms:
X2 + 2a + -2a + -1a2 + -6x = -8 + -2a

Combine like terms: 2a + -2a = 0
X2 + 0 + -1a2 + -6x = -8 + -2a
X2 + -1a2 + -6x = -8 + -2a

Add 'a2' to each side of the equation.
X2 + -1a2 + a2 + -6x = -8 + -2a + a2

Combine like terms: -1a2 + a2 = 0
X2 + 0 + -6x = -8 + -2a + a2
X2 + -6x = -8 + -2a + a2

Add '6x' to each side of the equation.
X2 + -6x + 6x = -8 + -2a + a2 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 = -8 + -2a + a2 + 6x
X2 = -8 + -2a + a2 + 6x

Simplifying
X2 = -8 + -2a + a2 + 6x

Reorder the terms:
8 + X2 + 2a + -1a2 + -6x = -8 + -2a + a2 + 6x + 8 + 2a + -1a2 + -6x

Reorder the terms:
8 + X2 + 2a + -1a2 + -6x = -8 + 8 + -2a + 2a + a2 + -1a2 + 6x + -6x

Combine like terms: -8 + 8 = 0
8 + X2 + 2a + -1a2 + -6x = 0 + -2a + 2a + a2 + -1a2 + 6x + -6x
8 + X2 + 2a + -1a2 + -6x = -2a + 2a + a2 + -1a2 + 6x + -6x

Combine like terms: -2a + 2a = 0
8 + X2 + 2a + -1a2 + -6x = 0 + a2 + -1a2 + 6x + -6x
8 + X2 + 2a + -1a2 + -6x = a2 + -1a2 + 6x + -6x

Combine like terms: a2 + -1a2 = 0
8 + X2 + 2a + -1a2 + -6x = 0 + 6x + -6x
8 + X2 + 2a + -1a2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
8 + X2 + 2a + -1a2 + -6x = 0

The solution to this equation could not be determined.

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