X^2+2ax+(2a^2+2+1)=0

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


Simplifying
X2 + 2ax + (2a2 + 2 + 1) = 0

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

Combine like terms: 2 + 1 = 3
X2 + 2ax + (3 + 2a2) = 0

Remove parenthesis around (3 + 2a2)
X2 + 2ax + 3 + 2a2 = 0

Reorder the terms:
3 + X2 + 2ax + 2a2 = 0

Solving
3 + X2 + 2ax + 2a2 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X2 + 2ax + -3 + 2a2 = 0 + -3

Reorder the terms:
3 + -3 + X2 + 2ax + 2a2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X2 + 2ax + 2a2 = 0 + -3
X2 + 2ax + 2a2 = 0 + -3

Combine like terms: 0 + -3 = -3
X2 + 2ax + 2a2 = -3

Add '-2ax' to each side of the equation.
X2 + 2ax + -2ax + 2a2 = -3 + -2ax

Combine like terms: 2ax + -2ax = 0
X2 + 0 + 2a2 = -3 + -2ax
X2 + 2a2 = -3 + -2ax

Add '-2a2' to each side of the equation.
X2 + 2a2 + -2a2 = -3 + -2ax + -2a2

Combine like terms: 2a2 + -2a2 = 0
X2 + 0 = -3 + -2ax + -2a2
X2 = -3 + -2ax + -2a2

Simplifying
X2 = -3 + -2ax + -2a2

Reorder the terms:
3 + X2 + 2ax + 2a2 = -3 + -2ax + -2a2 + 3 + 2ax + 2a2

Reorder the terms:
3 + X2 + 2ax + 2a2 = -3 + 3 + -2ax + 2ax + -2a2 + 2a2

Combine like terms: -3 + 3 = 0
3 + X2 + 2ax + 2a2 = 0 + -2ax + 2ax + -2a2 + 2a2
3 + X2 + 2ax + 2a2 = -2ax + 2ax + -2a2 + 2a2

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

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

The solution to this equation could not be determined.

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