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

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


Simplifying
x2 + px + (p + -4) = 0

Reorder the terms:
x2 + px + (-4 + p) = 0

Remove parenthesis around (-4 + p)
x2 + px + -4 + p = 0

Reorder the terms:
-4 + p + px + x2 = 0

Solving
-4 + p + px + x2 = 0

Solving for variable 'p'.

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

Add '4' to each side of the equation.
-4 + p + px + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + p + px + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + p + px + x2 = 0 + 4
p + px + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
p + px + x2 = 4

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

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

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

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

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

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

The solution to this equation could not be determined.

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