Px^2-(p-q)x-q=0

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Solution for Px^2-(p-q)x-q=0 equation:


Simplifying
Px2 + -1(p + -1q) * x + -1q = 0

Reorder the terms for easier multiplication:
x2P + -1x(p + -1q) + -1q = 0
x2P + (p * -1x + -1q * -1x) + -1q = 0
x2P + (-1px + 1qx) + -1q = 0

Reorder the terms:
-1px + -1q + 1qx + x2P = 0

Solving
-1px + -1q + 1qx + x2P = 0

Solving for variable 'p'.

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

Add 'q' to each side of the equation.
-1px + -1q + 1qx + q + x2P = 0 + q

Reorder the terms:
-1px + -1q + q + 1qx + x2P = 0 + q

Combine like terms: -1q + q = 0
-1px + 0 + 1qx + x2P = 0 + q
-1px + 1qx + x2P = 0 + q
Remove the zero:
-1px + 1qx + x2P = q

Add '-1qx' to each side of the equation.
-1px + 1qx + -1qx + x2P = q + -1qx

Combine like terms: 1qx + -1qx = 0
-1px + 0 + x2P = q + -1qx
-1px + x2P = q + -1qx

Add '-1x2P' to each side of the equation.
-1px + x2P + -1x2P = q + -1qx + -1x2P

Combine like terms: x2P + -1x2P = 0
-1px + 0 = q + -1qx + -1x2P
-1px = q + -1qx + -1x2P

Divide each side by '-1x'.
p = -1qx-1 + q + xP

Simplifying
p = -1qx-1 + q + xP

Reorder the terms:
p = q + -1qx-1 + xP

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