2x^2+(4q-p)x=2pq

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Solution for 2x^2+(4q-p)x=2pq equation:


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

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

Reorder the terms for easier multiplication:
2x2 + x(-1p + 4q) = 2pq
2x2 + (-1p * x + 4q * x) = 2pq
2x2 + (-1px + 4qx) = 2pq

Reorder the terms:
-1px + 4qx + 2x2 = 2pq

Solving
-1px + 4qx + 2x2 = 2pq

Solving for variable 'p'.

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

Add '-2pq' to each side of the equation.
-1px + 4qx + -2pq + 2x2 = 2pq + -2pq

Reorder the terms:
-2pq + -1px + 4qx + 2x2 = 2pq + -2pq

Combine like terms: 2pq + -2pq = 0
-2pq + -1px + 4qx + 2x2 = 0

Add '-4qx' to each side of the equation.
-2pq + -1px + 4qx + -4qx + 2x2 = 0 + -4qx

Combine like terms: 4qx + -4qx = 0
-2pq + -1px + 0 + 2x2 = 0 + -4qx
-2pq + -1px + 2x2 = 0 + -4qx
Remove the zero:
-2pq + -1px + 2x2 = -4qx

Add '-2x2' to each side of the equation.
-2pq + -1px + 2x2 + -2x2 = -4qx + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2pq + -1px + 0 = -4qx + -2x2
-2pq + -1px = -4qx + -2x2

Reorder the terms:
-2pq + -1px + 4qx + 2x2 = -4qx + 4qx + -2x2 + 2x2

Combine like terms: -4qx + 4qx = 0
-2pq + -1px + 4qx + 2x2 = 0 + -2x2 + 2x2
-2pq + -1px + 4qx + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-2pq + -1px + 4qx + 2x2 = 0

The solution to this equation could not be determined.

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