2x^2+x=2p(2x-p)

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


Simplifying
2x2 + x = 2p(2x + -1p)

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

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

Reorder the terms:
x + 2x2 = (4px + -2p2)
x + 2x2 = (4px + -2p2)

Solving
x + 2x2 = 4px + -2p2

Solving for variable 'x'.

Reorder the terms:
-4px + 2p2 + x + 2x2 = 4px + -2p2 + -4px + 2p2

Reorder the terms:
-4px + 2p2 + x + 2x2 = 4px + -4px + -2p2 + 2p2

Combine like terms: 4px + -4px = 0
-4px + 2p2 + x + 2x2 = 0 + -2p2 + 2p2
-4px + 2p2 + x + 2x2 = -2p2 + 2p2

Combine like terms: -2p2 + 2p2 = 0
-4px + 2p2 + x + 2x2 = 0

The solution to this equation could not be determined.

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