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

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


Simplifying
x2 + x(2 + -1p2) + -2p2 = 0
x2 + (2 * x + -1p2 * x) + -2p2 = 0

Reorder the terms:
x2 + (-1p2x + 2x) + -2p2 = 0
x2 + (-1p2x + 2x) + -2p2 = 0

Reorder the terms:
-2p2 + -1p2x + 2x + x2 = 0

Solving
-2p2 + -1p2x + 2x + x2 = 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.
-2p2 + -1p2x + 2x + -2x + x2 = 0 + -2x

Combine like terms: 2x + -2x = 0
-2p2 + -1p2x + 0 + x2 = 0 + -2x
-2p2 + -1p2x + x2 = 0 + -2x
Remove the zero:
-2p2 + -1p2x + x2 = -2x

Add '-1x2' to each side of the equation.
-2p2 + -1p2x + x2 + -1x2 = -2x + -1x2

Combine like terms: x2 + -1x2 = 0
-2p2 + -1p2x + 0 = -2x + -1x2
-2p2 + -1p2x = -2x + -1x2

Reorder the terms:
-2p2 + -1p2x + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-2p2 + -1p2x + 2x + x2 = 0 + -1x2 + x2
-2p2 + -1p2x + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2p2 + -1p2x + 2x + x2 = 0

The solution to this equation could not be determined.

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