(p-1)x^2-2(p+1)x+p+4=0

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Solution for (p-1)x^2-2(p+1)x+p+4=0 equation: 


Simplifying
(p + -1) * x2 + -2(p + 1) * x + p + 4 = 0

Reorder the terms:
(-1 + p) * x2 + -2(p + 1) * x + p + 4 = 0

Reorder the terms for easier multiplication:
x2(-1 + p) + -2(p + 1) * x + p + 4 = 0
(-1 * x2 + p * x2) + -2(p + 1) * x + p + 4 = 0

Reorder the terms:
(px2 + -1x2) + -2(p + 1) * x + p + 4 = 0
(px2 + -1x2) + -2(p + 1) * x + p + 4 = 0

Reorder the terms:
px2 + -1x2 + -2(1 + p) * x + p + 4 = 0

Reorder the terms for easier multiplication:
px2 + -1x2 + -2x(1 + p) + p + 4 = 0
px2 + -1x2 + (1 * -2x + p * -2x) + p + 4 = 0

Reorder the terms:
px2 + -1x2 + (-2px + -2x) + p + 4 = 0
px2 + -1x2 + (-2px + -2x) + p + 4 = 0

Reorder the terms:
4 + p + -2px + px2 + -2x + -1x2 = 0

Solving
4 + p + -2px + px2 + -2x + -1x2 = 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 + -2x + -4 + -1x2 = 0 + -4

Reorder the terms:
4 + -4 + p + -2px + px2 + -2x + -1x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + p + -2px + px2 + -2x + -1x2 = 0 + -4
p + -2px + px2 + -2x + -1x2 = 0 + -4

Combine like terms: 0 + -4 = -4
p + -2px + px2 + -2x + -1x2 = -4

Add '2x' to each side of the equation.
p + -2px + px2 + -2x + 2x + -1x2 = -4 + 2x

Combine like terms: -2x + 2x = 0
p + -2px + px2 + 0 + -1x2 = -4 + 2x
p + -2px + px2 + -1x2 = -4 + 2x

Add 'x2' to each side of the equation.
p + -2px + px2 + -1x2 + x2 = -4 + 2x + x2

Combine like terms: -1x2 + x2 = 0
p + -2px + px2 + 0 = -4 + 2x + x2
p + -2px + px2 = -4 + 2x + x2

Reorder the terms:
4 + p + -2px + px2 + -2x + -1x2 = -4 + 2x + x2 + 4 + -2x + -1x2

Reorder the terms:
4 + p + -2px + px2 + -2x + -1x2 = -4 + 4 + 2x + -2x + x2 + -1x2

Combine like terms: -4 + 4 = 0
4 + p + -2px + px2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
4 + p + -2px + px2 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
4 + p + -2px + px2 + -2x + -1x2 = 0 + x2 + -1x2
4 + p + -2px + px2 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + p + -2px + px2 + -2x + -1x2 = 0

The solution to this equation could not be determined.

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