(2p+2)x^2+px+p=4(px+2)

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Solution for (2p+2)x^2+px+p=4(px+2) equation: 


Simplifying
(2p + 2) * x2 + px + p = 4(px + 2)

Reorder the terms:
(2 + 2p) * x2 + px + p = 4(px + 2)

Reorder the terms for easier multiplication:
x2(2 + 2p) + px + p = 4(px + 2)
(2 * x2 + 2p * x2) + px + p = 4(px + 2)

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

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

Reorder the terms:
p + px + 2px2 + 2x2 = 4(2 + px)
p + px + 2px2 + 2x2 = (2 * 4 + px * 4)
p + px + 2px2 + 2x2 = (8 + 4px)

Solving
p + px + 2px2 + 2x2 = 8 + 4px

Solving for variable 'p'.

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

Add '-4px' to each side of the equation.
p + px + 2px2 + -4px + 2x2 = 8 + 4px + -4px

Reorder the terms:
p + px + -4px + 2px2 + 2x2 = 8 + 4px + -4px

Combine like terms: px + -4px = -3px
p + -3px + 2px2 + 2x2 = 8 + 4px + -4px

Combine like terms: 4px + -4px = 0
p + -3px + 2px2 + 2x2 = 8 + 0
p + -3px + 2px2 + 2x2 = 8

Add '-2x2' to each side of the equation.
p + -3px + 2px2 + 2x2 + -2x2 = 8 + -2x2

Combine like terms: 2x2 + -2x2 = 0
p + -3px + 2px2 + 0 = 8 + -2x2
p + -3px + 2px2 = 8 + -2x2

Reorder the terms:
-8 + p + -3px + 2px2 + 2x2 = 8 + -2x2 + -8 + 2x2

Reorder the terms:
-8 + p + -3px + 2px2 + 2x2 = 8 + -8 + -2x2 + 2x2

Combine like terms: 8 + -8 = 0
-8 + p + -3px + 2px2 + 2x2 = 0 + -2x2 + 2x2
-8 + p + -3px + 2px2 + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-8 + p + -3px + 2px2 + 2x2 = 0

The solution to this equation could not be determined.

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