X^2-(2p-1)*x+p^2-p-6=0

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Solution for X^2-(2p-1)*x+p^2-p-6=0 equation:


Simplifying
X2 + -1(2p + -1) * x + p2 + -1p + -6 = 0

Reorder the terms:
X2 + -1(-1 + 2p) * x + p2 + -1p + -6 = 0

Reorder the terms for easier multiplication:
X2 + -1x(-1 + 2p) + p2 + -1p + -6 = 0
X2 + (-1 * -1x + 2p * -1x) + p2 + -1p + -6 = 0

Reorder the terms:
X2 + (-2px + 1x) + p2 + -1p + -6 = 0
X2 + (-2px + 1x) + p2 + -1p + -6 = 0

Reorder the terms:
-6 + X2 + -1p + -2px + p2 + 1x = 0

Solving
-6 + X2 + -1p + -2px + p2 + 1x = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X2 + -1p + -2px + p2 + 6 + 1x = 0 + 6

Reorder the terms:
-6 + 6 + X2 + -1p + -2px + p2 + 1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X2 + -1p + -2px + p2 + 1x = 0 + 6
X2 + -1p + -2px + p2 + 1x = 0 + 6

Combine like terms: 0 + 6 = 6
X2 + -1p + -2px + p2 + 1x = 6

Add 'p' to each side of the equation.
X2 + -1p + -2px + p2 + p + 1x = 6 + p

Reorder the terms:
X2 + -1p + p + -2px + p2 + 1x = 6 + p

Combine like terms: -1p + p = 0
X2 + 0 + -2px + p2 + 1x = 6 + p
X2 + -2px + p2 + 1x = 6 + p

Add '2px' to each side of the equation.
X2 + -2px + p2 + 2px + 1x = 6 + p + 2px

Reorder the terms:
X2 + -2px + 2px + p2 + 1x = 6 + p + 2px

Combine like terms: -2px + 2px = 0
X2 + 0 + p2 + 1x = 6 + p + 2px
X2 + p2 + 1x = 6 + p + 2px

Add '-1p2' to each side of the equation.
X2 + p2 + -1p2 + 1x = 6 + p + 2px + -1p2

Combine like terms: p2 + -1p2 = 0
X2 + 0 + 1x = 6 + p + 2px + -1p2
X2 + 1x = 6 + p + 2px + -1p2

Add '-1x' to each side of the equation.
X2 + 1x + -1x = 6 + p + 2px + -1p2 + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 = 6 + p + 2px + -1p2 + -1x
X2 = 6 + p + 2px + -1p2 + -1x

Simplifying
X2 = 6 + p + 2px + -1p2 + -1x

Reorder the terms:
-6 + X2 + -1p + -2px + p2 + x = 6 + p + 2px + -1p2 + -1x + -6 + -1p + -2px + p2 + x

Reorder the terms:
-6 + X2 + -1p + -2px + p2 + x = 6 + -6 + p + -1p + 2px + -2px + -1p2 + p2 + -1x + x

Combine like terms: 6 + -6 = 0
-6 + X2 + -1p + -2px + p2 + x = 0 + p + -1p + 2px + -2px + -1p2 + p2 + -1x + x
-6 + X2 + -1p + -2px + p2 + x = p + -1p + 2px + -2px + -1p2 + p2 + -1x + x

Combine like terms: p + -1p = 0
-6 + X2 + -1p + -2px + p2 + x = 0 + 2px + -2px + -1p2 + p2 + -1x + x
-6 + X2 + -1p + -2px + p2 + x = 2px + -2px + -1p2 + p2 + -1x + x

Combine like terms: 2px + -2px = 0
-6 + X2 + -1p + -2px + p2 + x = 0 + -1p2 + p2 + -1x + x
-6 + X2 + -1p + -2px + p2 + x = -1p2 + p2 + -1x + x

Combine like terms: -1p2 + p2 = 0
-6 + X2 + -1p + -2px + p2 + x = 0 + -1x + x
-6 + X2 + -1p + -2px + p2 + x = -1x + x

Combine like terms: -1x + x = 0
-6 + X2 + -1p + -2px + p2 + x = 0

The solution to this equation could not be determined.

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