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

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


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

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

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

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

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

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

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

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

Solving for variable 'p'.

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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