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

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


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

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

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

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

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

Solving
-2 + p + px + -2x + x2 = 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 + px + -2x + 2 + x2 = 0 + 2

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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