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

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


Simplifying
px2 + (2p + 3) * x + p = 0

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

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

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

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

Solving
p + 2px + px2 + 3x = 0

Solving for variable 'p'.

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

Add '-3x' to each side of the equation.
p + 2px + px2 + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
p + 2px + px2 + 0 = 0 + -3x
p + 2px + px2 = 0 + -3x
Remove the zero:
p + 2px + px2 = -3x

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

The solution to this equation could not be determined.

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