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

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


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

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

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

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

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

Remove parenthesis around (1 + 2p)
x2 + -1px + 2x + 1 + 2p = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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