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

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


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

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

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

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

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

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

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

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

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + p + -2px + px2 + 4x + -1 + -4x2 = 0 + -1

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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