x^2+2px+(3p+4)=0

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Solution for x^2+2px+(3p+4)=0 equation:


Simplifying
x2 + 2px + (3p + 4) = 0

Reorder the terms:
x2 + 2px + (4 + 3p) = 0

Remove parenthesis around (4 + 3p)
x2 + 2px + 4 + 3p = 0

Reorder the terms:
4 + 3p + 2px + x2 = 0

Solving
4 + 3p + 2px + 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 + 3p + 2px + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 3p + 2px + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3p + 2px + x2 = 0 + -4
3p + 2px + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3p + 2px + x2 = -4

Add '-1x2' to each side of the equation.
3p + 2px + x2 + -1x2 = -4 + -1x2

Combine like terms: x2 + -1x2 = 0
3p + 2px + 0 = -4 + -1x2
3p + 2px = -4 + -1x2

Reorder the terms:
4 + 3p + 2px + x2 = -4 + -1x2 + 4 + x2

Reorder the terms:
4 + 3p + 2px + x2 = -4 + 4 + -1x2 + x2

Combine like terms: -4 + 4 = 0
4 + 3p + 2px + x2 = 0 + -1x2 + x2
4 + 3p + 2px + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4 + 3p + 2px + x2 = 0

The solution to this equation could not be determined.

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