X^2-2ax-4x+a^2+4a+3=0

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Solution for X^2-2ax-4x+a^2+4a+3=0 equation:


Simplifying
X2 + -2ax + -4x + a2 + 4a + 3 = 0

Reorder the terms:
3 + X2 + 4a + -2ax + a2 + -4x = 0

Solving
3 + X2 + 4a + -2ax + a2 + -4x = 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 + 4a + -2ax + a2 + -3 + -4x = 0 + -3

Reorder the terms:
3 + -3 + X2 + 4a + -2ax + a2 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X2 + 4a + -2ax + a2 + -4x = 0 + -3
X2 + 4a + -2ax + a2 + -4x = 0 + -3

Combine like terms: 0 + -3 = -3
X2 + 4a + -2ax + a2 + -4x = -3

Add '-4a' to each side of the equation.
X2 + 4a + -2ax + a2 + -4a + -4x = -3 + -4a

Reorder the terms:
X2 + 4a + -4a + -2ax + a2 + -4x = -3 + -4a

Combine like terms: 4a + -4a = 0
X2 + 0 + -2ax + a2 + -4x = -3 + -4a
X2 + -2ax + a2 + -4x = -3 + -4a

Add '2ax' to each side of the equation.
X2 + -2ax + a2 + 2ax + -4x = -3 + -4a + 2ax

Reorder the terms:
X2 + -2ax + 2ax + a2 + -4x = -3 + -4a + 2ax

Combine like terms: -2ax + 2ax = 0
X2 + 0 + a2 + -4x = -3 + -4a + 2ax
X2 + a2 + -4x = -3 + -4a + 2ax

Add '-1a2' to each side of the equation.
X2 + a2 + -1a2 + -4x = -3 + -4a + 2ax + -1a2

Combine like terms: a2 + -1a2 = 0
X2 + 0 + -4x = -3 + -4a + 2ax + -1a2
X2 + -4x = -3 + -4a + 2ax + -1a2

Add '4x' to each side of the equation.
X2 + -4x + 4x = -3 + -4a + 2ax + -1a2 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 = -3 + -4a + 2ax + -1a2 + 4x
X2 = -3 + -4a + 2ax + -1a2 + 4x

Simplifying
X2 = -3 + -4a + 2ax + -1a2 + 4x

Reorder the terms:
3 + X2 + 4a + -2ax + a2 + -4x = -3 + -4a + 2ax + -1a2 + 4x + 3 + 4a + -2ax + a2 + -4x

Reorder the terms:
3 + X2 + 4a + -2ax + a2 + -4x = -3 + 3 + -4a + 4a + 2ax + -2ax + -1a2 + a2 + 4x + -4x

Combine like terms: -3 + 3 = 0
3 + X2 + 4a + -2ax + a2 + -4x = 0 + -4a + 4a + 2ax + -2ax + -1a2 + a2 + 4x + -4x
3 + X2 + 4a + -2ax + a2 + -4x = -4a + 4a + 2ax + -2ax + -1a2 + a2 + 4x + -4x

Combine like terms: -4a + 4a = 0
3 + X2 + 4a + -2ax + a2 + -4x = 0 + 2ax + -2ax + -1a2 + a2 + 4x + -4x
3 + X2 + 4a + -2ax + a2 + -4x = 2ax + -2ax + -1a2 + a2 + 4x + -4x

Combine like terms: 2ax + -2ax = 0
3 + X2 + 4a + -2ax + a2 + -4x = 0 + -1a2 + a2 + 4x + -4x
3 + X2 + 4a + -2ax + a2 + -4x = -1a2 + a2 + 4x + -4x

Combine like terms: -1a2 + a2 = 0
3 + X2 + 4a + -2ax + a2 + -4x = 0 + 4x + -4x
3 + X2 + 4a + -2ax + a2 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
3 + X2 + 4a + -2ax + a2 + -4x = 0

The solution to this equation could not be determined.

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