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

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


Simplifying
X2 + -1(2a + 1) * x + a2 + 2 = 0

Reorder the terms:
X2 + -1(1 + 2a) * x + a2 + 2 = 0

Reorder the terms for easier multiplication:
X2 + -1x(1 + 2a) + a2 + 2 = 0
X2 + (1 * -1x + 2a * -1x) + a2 + 2 = 0

Reorder the terms:
X2 + (-2ax + -1x) + a2 + 2 = 0
X2 + (-2ax + -1x) + a2 + 2 = 0

Reorder the terms:
2 + X2 + -2ax + a2 + -1x = 0

Solving
2 + X2 + -2ax + a2 + -1x = 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 + X2 + -2ax + a2 + -2 + -1x = 0 + -2

Reorder the terms:
2 + -2 + X2 + -2ax + a2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X2 + -2ax + a2 + -1x = 0 + -2
X2 + -2ax + a2 + -1x = 0 + -2

Combine like terms: 0 + -2 = -2
X2 + -2ax + a2 + -1x = -2

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

Reorder the terms:
X2 + -2ax + 2ax + a2 + -1x = -2 + 2ax

Combine like terms: -2ax + 2ax = 0
X2 + 0 + a2 + -1x = -2 + 2ax
X2 + a2 + -1x = -2 + 2ax

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

Combine like terms: a2 + -1a2 = 0
X2 + 0 + -1x = -2 + 2ax + -1a2
X2 + -1x = -2 + 2ax + -1a2

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

Combine like terms: -1x + x = 0
X2 + 0 = -2 + 2ax + -1a2 + x
X2 = -2 + 2ax + -1a2 + x

Simplifying
X2 = -2 + 2ax + -1a2 + x

Reorder the terms:
2 + X2 + -2ax + a2 + -1x = -2 + 2ax + -1a2 + x + 2 + -2ax + a2 + -1x

Reorder the terms:
2 + X2 + -2ax + a2 + -1x = -2 + 2 + 2ax + -2ax + -1a2 + a2 + x + -1x

Combine like terms: -2 + 2 = 0
2 + X2 + -2ax + a2 + -1x = 0 + 2ax + -2ax + -1a2 + a2 + x + -1x
2 + X2 + -2ax + a2 + -1x = 2ax + -2ax + -1a2 + a2 + x + -1x

Combine like terms: 2ax + -2ax = 0
2 + X2 + -2ax + a2 + -1x = 0 + -1a2 + a2 + x + -1x
2 + X2 + -2ax + a2 + -1x = -1a2 + a2 + x + -1x

Combine like terms: -1a2 + a2 = 0
2 + X2 + -2ax + a2 + -1x = 0 + x + -1x
2 + X2 + -2ax + a2 + -1x = x + -1x

Combine like terms: x + -1x = 0
2 + X2 + -2ax + a2 + -1x = 0

The solution to this equation could not be determined.

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