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

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


Simplifying
(p + 3) * x2 + (2p + 3) * x + p + 5 = 0

Reorder the terms:
(3 + p) * x2 + (2p + 3) * x + p + 5 = 0

Reorder the terms for easier multiplication:
x2(3 + p) + (2p + 3) * x + p + 5 = 0
(3 * x2 + p * x2) + (2p + 3) * x + p + 5 = 0

Reorder the terms:
(px2 + 3x2) + (2p + 3) * x + p + 5 = 0
(px2 + 3x2) + (2p + 3) * x + p + 5 = 0

Reorder the terms:
px2 + 3x2 + (3 + 2p) * x + p + 5 = 0

Reorder the terms for easier multiplication:
px2 + 3x2 + x(3 + 2p) + p + 5 = 0
px2 + 3x2 + (3 * x + 2p * x) + p + 5 = 0

Reorder the terms:
px2 + 3x2 + (2px + 3x) + p + 5 = 0
px2 + 3x2 + (2px + 3x) + p + 5 = 0

Reorder the terms:
5 + p + 2px + px2 + 3x + 3x2 = 0

Solving
5 + p + 2px + px2 + 3x + 3x2 = 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 + p + 2px + px2 + 3x + -5 + 3x2 = 0 + -5

Reorder the terms:
5 + -5 + p + 2px + px2 + 3x + 3x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p + 2px + px2 + 3x + 3x2 = 0 + -5
p + 2px + px2 + 3x + 3x2 = 0 + -5

Combine like terms: 0 + -5 = -5
p + 2px + px2 + 3x + 3x2 = -5

Add '-3x' to each side of the equation.
p + 2px + px2 + 3x + -3x + 3x2 = -5 + -3x

Combine like terms: 3x + -3x = 0
p + 2px + px2 + 0 + 3x2 = -5 + -3x
p + 2px + px2 + 3x2 = -5 + -3x

Add '-3x2' to each side of the equation.
p + 2px + px2 + 3x2 + -3x2 = -5 + -3x + -3x2

Combine like terms: 3x2 + -3x2 = 0
p + 2px + px2 + 0 = -5 + -3x + -3x2
p + 2px + px2 = -5 + -3x + -3x2

Reorder the terms:
5 + p + 2px + px2 + 3x + 3x2 = -5 + -3x + -3x2 + 5 + 3x + 3x2

Reorder the terms:
5 + p + 2px + px2 + 3x + 3x2 = -5 + 5 + -3x + 3x + -3x2 + 3x2

Combine like terms: -5 + 5 = 0
5 + p + 2px + px2 + 3x + 3x2 = 0 + -3x + 3x + -3x2 + 3x2
5 + p + 2px + px2 + 3x + 3x2 = -3x + 3x + -3x2 + 3x2

Combine like terms: -3x + 3x = 0
5 + p + 2px + px2 + 3x + 3x2 = 0 + -3x2 + 3x2
5 + p + 2px + px2 + 3x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
5 + p + 2px + px2 + 3x + 3x2 = 0

The solution to this equation could not be determined.

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