X^2+2(p+2)x+p^2+8=0

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Solution for X^2+2(p+2)x+p^2+8=0 equation: 


Simplifying
X2 + 2(p + 2) * x + p2 + 8 = 0

Reorder the terms:
X2 + 2(2 + p) * x + p2 + 8 = 0

Reorder the terms for easier multiplication:
X2 + 2x(2 + p) + p2 + 8 = 0
X2 + (2 * 2x + p * 2x) + p2 + 8 = 0

Reorder the terms:
X2 + (2px + 4x) + p2 + 8 = 0
X2 + (2px + 4x) + p2 + 8 = 0

Reorder the terms:
8 + X2 + 2px + p2 + 4x = 0

Solving
8 + X2 + 2px + p2 + 4x = 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 + 2px + p2 + -8 + 4x = 0 + -8

Reorder the terms:
8 + -8 + X2 + 2px + p2 + 4x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + X2 + 2px + p2 + 4x = 0 + -8
X2 + 2px + p2 + 4x = 0 + -8

Combine like terms: 0 + -8 = -8
X2 + 2px + p2 + 4x = -8

Add '-2px' to each side of the equation.
X2 + 2px + p2 + -2px + 4x = -8 + -2px

Reorder the terms:
X2 + 2px + -2px + p2 + 4x = -8 + -2px

Combine like terms: 2px + -2px = 0
X2 + 0 + p2 + 4x = -8 + -2px
X2 + p2 + 4x = -8 + -2px

Add '-1p2' to each side of the equation.
X2 + p2 + -1p2 + 4x = -8 + -2px + -1p2

Combine like terms: p2 + -1p2 = 0
X2 + 0 + 4x = -8 + -2px + -1p2
X2 + 4x = -8 + -2px + -1p2

Add '-4x' to each side of the equation.
X2 + 4x + -4x = -8 + -2px + -1p2 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 = -8 + -2px + -1p2 + -4x
X2 = -8 + -2px + -1p2 + -4x

Simplifying
X2 = -8 + -2px + -1p2 + -4x

Reorder the terms:
8 + X2 + 2px + p2 + 4x = -8 + -2px + -1p2 + -4x + 8 + 2px + p2 + 4x

Reorder the terms:
8 + X2 + 2px + p2 + 4x = -8 + 8 + -2px + 2px + -1p2 + p2 + -4x + 4x

Combine like terms: -8 + 8 = 0
8 + X2 + 2px + p2 + 4x = 0 + -2px + 2px + -1p2 + p2 + -4x + 4x
8 + X2 + 2px + p2 + 4x = -2px + 2px + -1p2 + p2 + -4x + 4x

Combine like terms: -2px + 2px = 0
8 + X2 + 2px + p2 + 4x = 0 + -1p2 + p2 + -4x + 4x
8 + X2 + 2px + p2 + 4x = -1p2 + p2 + -4x + 4x

Combine like terms: -1p2 + p2 = 0
8 + X2 + 2px + p2 + 4x = 0 + -4x + 4x
8 + X2 + 2px + p2 + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
8 + X2 + 2px + p2 + 4x = 0

The solution to this equation could not be determined.

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