px^2-(2p+3)x+p+1=0

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Solution for px^2-(2p+3)x+p+1=0 equation:


Simplifying
px2 + -1(2p + 3) * x + p + 1 = 0

Reorder the terms:
px2 + -1(3 + 2p) * x + p + 1 = 0

Reorder the terms for easier multiplication:
px2 + -1x(3 + 2p) + p + 1 = 0
px2 + (3 * -1x + 2p * -1x) + p + 1 = 0

Reorder the terms:
px2 + (-2px + -3x) + p + 1 = 0
px2 + (-2px + -3x) + p + 1 = 0

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

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

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + p + -2px + px2 + -1 + -3x = 0 + -1

Reorder the terms:
1 + -1 + p + -2px + px2 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p + -2px + px2 + -3x = 0 + -1
p + -2px + px2 + -3x = 0 + -1

Combine like terms: 0 + -1 = -1
p + -2px + px2 + -3x = -1

Add '3x' to each side of the equation.
p + -2px + px2 + -3x + 3x = -1 + 3x

Combine like terms: -3x + 3x = 0
p + -2px + px2 + 0 = -1 + 3x
p + -2px + px2 = -1 + 3x

Reorder the terms:
1 + p + -2px + px2 + -3x = -1 + 3x + 1 + -3x

Reorder the terms:
1 + p + -2px + px2 + -3x = -1 + 1 + 3x + -3x

Combine like terms: -1 + 1 = 0
1 + p + -2px + px2 + -3x = 0 + 3x + -3x
1 + p + -2px + px2 + -3x = 3x + -3x

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

The solution to this equation could not be determined.

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