X^2-(2b-1)x+(b^2-b-2a)=0

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Solution for X^2-(2b-1)x+(b^2-b-2a)=0 equation:


Simplifying
X2 + -1(2b + -1) * x + (b2 + -1b + -2a) = 0

Reorder the terms:
X2 + -1(-1 + 2b) * x + (b2 + -1b + -2a) = 0

Reorder the terms for easier multiplication:
X2 + -1x(-1 + 2b) + (b2 + -1b + -2a) = 0
X2 + (-1 * -1x + 2b * -1x) + (b2 + -1b + -2a) = 0

Reorder the terms:
X2 + (-2bx + 1x) + (b2 + -1b + -2a) = 0
X2 + (-2bx + 1x) + (b2 + -1b + -2a) = 0

Reorder the terms:
X2 + -2bx + 1x + (-2a + -1b + b2) = 0

Remove parenthesis around (-2a + -1b + b2)
X2 + -2bx + 1x + -2a + -1b + b2 = 0

Reorder the terms:
X2 + -2a + -1b + -2bx + b2 + 1x = 0

Solving
X2 + -2a + -1b + -2bx + b2 + 1x = 0

Solving for variable 'X'.

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

Add '2a' to each side of the equation.
X2 + -2a + -1b + -2bx + b2 + 2a + 1x = 0 + 2a

Reorder the terms:
X2 + -2a + 2a + -1b + -2bx + b2 + 1x = 0 + 2a

Combine like terms: -2a + 2a = 0
X2 + 0 + -1b + -2bx + b2 + 1x = 0 + 2a
X2 + -1b + -2bx + b2 + 1x = 0 + 2a
Remove the zero:
X2 + -1b + -2bx + b2 + 1x = 2a

Add 'b' to each side of the equation.
X2 + -1b + -2bx + b2 + b + 1x = 2a + b

Reorder the terms:
X2 + -1b + b + -2bx + b2 + 1x = 2a + b

Combine like terms: -1b + b = 0
X2 + 0 + -2bx + b2 + 1x = 2a + b
X2 + -2bx + b2 + 1x = 2a + b

Add '2bx' to each side of the equation.
X2 + -2bx + b2 + 2bx + 1x = 2a + b + 2bx

Reorder the terms:
X2 + -2bx + 2bx + b2 + 1x = 2a + b + 2bx

Combine like terms: -2bx + 2bx = 0
X2 + 0 + b2 + 1x = 2a + b + 2bx
X2 + b2 + 1x = 2a + b + 2bx

Add '-1b2' to each side of the equation.
X2 + b2 + -1b2 + 1x = 2a + b + 2bx + -1b2

Combine like terms: b2 + -1b2 = 0
X2 + 0 + 1x = 2a + b + 2bx + -1b2
X2 + 1x = 2a + b + 2bx + -1b2

Add '-1x' to each side of the equation.
X2 + 1x + -1x = 2a + b + 2bx + -1b2 + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 = 2a + b + 2bx + -1b2 + -1x
X2 = 2a + b + 2bx + -1b2 + -1x

Simplifying
X2 = 2a + b + 2bx + -1b2 + -1x

Reorder the terms:
X2 + -2a + -1b + -2bx + b2 + x = 2a + -2a + b + -1b + 2bx + -2bx + -1b2 + b2 + -1x + x

Combine like terms: 2a + -2a = 0
X2 + -2a + -1b + -2bx + b2 + x = 0 + b + -1b + 2bx + -2bx + -1b2 + b2 + -1x + x
X2 + -2a + -1b + -2bx + b2 + x = b + -1b + 2bx + -2bx + -1b2 + b2 + -1x + x

Combine like terms: b + -1b = 0
X2 + -2a + -1b + -2bx + b2 + x = 0 + 2bx + -2bx + -1b2 + b2 + -1x + x
X2 + -2a + -1b + -2bx + b2 + x = 2bx + -2bx + -1b2 + b2 + -1x + x

Combine like terms: 2bx + -2bx = 0
X2 + -2a + -1b + -2bx + b2 + x = 0 + -1b2 + b2 + -1x + x
X2 + -2a + -1b + -2bx + b2 + x = -1b2 + b2 + -1x + x

Combine like terms: -1b2 + b2 = 0
X2 + -2a + -1b + -2bx + b2 + x = 0 + -1x + x
X2 + -2a + -1b + -2bx + b2 + x = -1x + x

Combine like terms: -1x + x = 0
X2 + -2a + -1b + -2bx + b2 + x = 0

The solution to this equation could not be determined.

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