x^2-(p+4)x+2p+5=0

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Solution for x^2-(p+4)x+2p+5=0 equation:


Simplifying
x2 + -1(p + 4) * x + 2p + 5 = 0

Reorder the terms:
x2 + -1(4 + p) * x + 2p + 5 = 0

Reorder the terms for easier multiplication:
x2 + -1x(4 + p) + 2p + 5 = 0
x2 + (4 * -1x + p * -1x) + 2p + 5 = 0

Reorder the terms:
x2 + (-1px + -4x) + 2p + 5 = 0
x2 + (-1px + -4x) + 2p + 5 = 0

Reorder the terms:
5 + 2p + -1px + -4x + x2 = 0

Solving
5 + 2p + -1px + -4x + 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 + 2p + -1px + -4x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 2p + -1px + -4x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2p + -1px + -4x + x2 = 0 + -5
2p + -1px + -4x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
2p + -1px + -4x + x2 = -5

Add '4x' to each side of the equation.
2p + -1px + -4x + 4x + x2 = -5 + 4x

Combine like terms: -4x + 4x = 0
2p + -1px + 0 + x2 = -5 + 4x
2p + -1px + x2 = -5 + 4x

Add '-1x2' to each side of the equation.
2p + -1px + x2 + -1x2 = -5 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
2p + -1px + 0 = -5 + 4x + -1x2
2p + -1px = -5 + 4x + -1x2

Reorder the terms:
5 + 2p + -1px + -4x + x2 = -5 + 4x + -1x2 + 5 + -4x + x2

Reorder the terms:
5 + 2p + -1px + -4x + x2 = -5 + 5 + 4x + -4x + -1x2 + x2

Combine like terms: -5 + 5 = 0
5 + 2p + -1px + -4x + x2 = 0 + 4x + -4x + -1x2 + x2
5 + 2p + -1px + -4x + x2 = 4x + -4x + -1x2 + x2

Combine like terms: 4x + -4x = 0
5 + 2p + -1px + -4x + x2 = 0 + -1x2 + x2
5 + 2p + -1px + -4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 2p + -1px + -4x + x2 = 0

The solution to this equation could not be determined.

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