(p-2)x^2+4x+(p+2)=0

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Solution for (p-2)x^2+4x+(p+2)=0 equation: 


Simplifying
(p + -2) * x2 + 4x + (p + 2) = 0

Reorder the terms:
(-2 + p) * x2 + 4x + (p + 2) = 0

Reorder the terms for easier multiplication:
x2(-2 + p) + 4x + (p + 2) = 0
(-2 * x2 + p * x2) + 4x + (p + 2) = 0

Reorder the terms:
(px2 + -2x2) + 4x + (p + 2) = 0
(px2 + -2x2) + 4x + (p + 2) = 0

Reorder the terms:
px2 + -2x2 + 4x + (2 + p) = 0

Remove parenthesis around (2 + p)
px2 + -2x2 + 4x + 2 + p = 0

Reorder the terms:
2 + p + px2 + 4x + -2x2 = 0

Solving
2 + p + px2 + 4x + -2x2 = 0

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + p + px2 + 4x + -2 + -2x2 = 0 + -2

Reorder the terms:
2 + -2 + p + px2 + 4x + -2x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p + px2 + 4x + -2x2 = 0 + -2
p + px2 + 4x + -2x2 = 0 + -2

Combine like terms: 0 + -2 = -2
p + px2 + 4x + -2x2 = -2

Add '-4x' to each side of the equation.
p + px2 + 4x + -4x + -2x2 = -2 + -4x

Combine like terms: 4x + -4x = 0
p + px2 + 0 + -2x2 = -2 + -4x
p + px2 + -2x2 = -2 + -4x

Add '2x2' to each side of the equation.
p + px2 + -2x2 + 2x2 = -2 + -4x + 2x2

Combine like terms: -2x2 + 2x2 = 0
p + px2 + 0 = -2 + -4x + 2x2
p + px2 = -2 + -4x + 2x2

Reorder the terms:
2 + p + px2 + 4x + -2x2 = -2 + -4x + 2x2 + 2 + 4x + -2x2

Reorder the terms:
2 + p + px2 + 4x + -2x2 = -2 + 2 + -4x + 4x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
2 + p + px2 + 4x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2
2 + p + px2 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
2 + p + px2 + 4x + -2x2 = 0 + 2x2 + -2x2
2 + p + px2 + 4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + p + px2 + 4x + -2x2 = 0

The solution to this equation could not be determined.

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