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

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


Simplifying
px(x + -2) + 2(p + -2x) + 1 = 0

Reorder the terms:
px(-2 + x) + 2(p + -2x) + 1 = 0
(-2 * px + x * px) + 2(p + -2x) + 1 = 0
(-2px + px2) + 2(p + -2x) + 1 = 0
-2px + px2 + (p * 2 + -2x * 2) + 1 = 0
-2px + px2 + (2p + -4x) + 1 = 0

Reorder the terms:
1 + 2p + -2px + px2 + -4x = 0

Solving
1 + 2p + -2px + px2 + -4x = 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 + 2p + -2px + px2 + -1 + -4x = 0 + -1

Reorder the terms:
1 + -1 + 2p + -2px + px2 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p + -2px + px2 + -4x = 0 + -1
2p + -2px + px2 + -4x = 0 + -1

Combine like terms: 0 + -1 = -1
2p + -2px + px2 + -4x = -1

Add '4x' to each side of the equation.
2p + -2px + px2 + -4x + 4x = -1 + 4x

Combine like terms: -4x + 4x = 0
2p + -2px + px2 + 0 = -1 + 4x
2p + -2px + px2 = -1 + 4x

Reorder the terms:
1 + 2p + -2px + px2 + -4x = -1 + 4x + 1 + -4x

Reorder the terms:
1 + 2p + -2px + px2 + -4x = -1 + 1 + 4x + -4x

Combine like terms: -1 + 1 = 0
1 + 2p + -2px + px2 + -4x = 0 + 4x + -4x
1 + 2p + -2px + px2 + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 2p + -2px + px2 + -4x = 0

The solution to this equation could not be determined.

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