x^2-(p+1)x+(3p-5)=0

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Solution for x^2-(p+1)x+(3p-5)=0 equation:


Simplifying
x2 + -1(p + 1) * x + (3p + -5) = 0

Reorder the terms:
x2 + -1(1 + p) * x + (3p + -5) = 0

Reorder the terms for easier multiplication:
x2 + -1x(1 + p) + (3p + -5) = 0
x2 + (1 * -1x + p * -1x) + (3p + -5) = 0

Reorder the terms:
x2 + (-1px + -1x) + (3p + -5) = 0
x2 + (-1px + -1x) + (3p + -5) = 0

Reorder the terms:
x2 + -1px + -1x + (-5 + 3p) = 0

Remove parenthesis around (-5 + 3p)
x2 + -1px + -1x + -5 + 3p = 0

Reorder the terms:
-5 + 3p + -1px + -1x + x2 = 0

Solving
-5 + 3p + -1px + -1x + x2 = 0

Solving for variable 'p'.

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

Add '5' to each side of the equation.
-5 + 3p + -1px + -1x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3p + -1px + -1x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3p + -1px + -1x + x2 = 0 + 5
3p + -1px + -1x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3p + -1px + -1x + x2 = 5

Add 'x' to each side of the equation.
3p + -1px + -1x + x + x2 = 5 + x

Combine like terms: -1x + x = 0
3p + -1px + 0 + x2 = 5 + x
3p + -1px + x2 = 5 + x

Add '-1x2' to each side of the equation.
3p + -1px + x2 + -1x2 = 5 + x + -1x2

Combine like terms: x2 + -1x2 = 0
3p + -1px + 0 = 5 + x + -1x2
3p + -1px = 5 + x + -1x2

Reorder the terms:
-5 + 3p + -1px + -1x + x2 = 5 + x + -1x2 + -5 + -1x + x2

Reorder the terms:
-5 + 3p + -1px + -1x + x2 = 5 + -5 + x + -1x + -1x2 + x2

Combine like terms: 5 + -5 = 0
-5 + 3p + -1px + -1x + x2 = 0 + x + -1x + -1x2 + x2
-5 + 3p + -1px + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-5 + 3p + -1px + -1x + x2 = 0 + -1x2 + x2
-5 + 3p + -1px + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + 3p + -1px + -1x + x2 = 0

The solution to this equation could not be determined.

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