(p+2)x^2-2(2p+1)x+4p=0

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Solution for (p+2)x^2-2(2p+1)x+4p=0 equation:


Simplifying
(p + 2) * x2 + -2(2p + 1) * x + 4p = 0

Reorder the terms:
(2 + p) * x2 + -2(2p + 1) * x + 4p = 0

Reorder the terms for easier multiplication:
x2(2 + p) + -2(2p + 1) * x + 4p = 0
(2 * x2 + p * x2) + -2(2p + 1) * x + 4p = 0

Reorder the terms:
(px2 + 2x2) + -2(2p + 1) * x + 4p = 0
(px2 + 2x2) + -2(2p + 1) * x + 4p = 0

Reorder the terms:
px2 + 2x2 + -2(1 + 2p) * x + 4p = 0

Reorder the terms for easier multiplication:
px2 + 2x2 + -2x(1 + 2p) + 4p = 0
px2 + 2x2 + (1 * -2x + 2p * -2x) + 4p = 0

Reorder the terms:
px2 + 2x2 + (-4px + -2x) + 4p = 0
px2 + 2x2 + (-4px + -2x) + 4p = 0

Reorder the terms:
4p + -4px + px2 + -2x + 2x2 = 0

Solving
4p + -4px + px2 + -2x + 2x2 = 0

Solving for variable 'p'.

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

Add '2x' to each side of the equation.
4p + -4px + px2 + -2x + 2x + 2x2 = 0 + 2x

Combine like terms: -2x + 2x = 0
4p + -4px + px2 + 0 + 2x2 = 0 + 2x
4p + -4px + px2 + 2x2 = 0 + 2x
Remove the zero:
4p + -4px + px2 + 2x2 = 2x

Add '-2x2' to each side of the equation.
4p + -4px + px2 + 2x2 + -2x2 = 2x + -2x2

Combine like terms: 2x2 + -2x2 = 0
4p + -4px + px2 + 0 = 2x + -2x2
4p + -4px + px2 = 2x + -2x2

Reorder the terms:
4p + -4px + px2 + -2x + 2x2 = 2x + -2x + -2x2 + 2x2

Combine like terms: 2x + -2x = 0
4p + -4px + px2 + -2x + 2x2 = 0 + -2x2 + 2x2
4p + -4px + px2 + -2x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
4p + -4px + px2 + -2x + 2x2 = 0

The solution to this equation could not be determined.

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