v^2-p^2=0

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Solution for v^2-p^2=0 equation: 


Simplifying
v2 + -1p2 = 0

Reorder the terms:
-1p2 + v2 = 0

Solving
-1p2 + v2 = 0

Solving for variable 'p'.

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

Add '-1v2' to each side of the equation.
-1p2 + v2 + -1v2 = 0 + -1v2

Combine like terms: v2 + -1v2 = 0
-1p2 + 0 = 0 + -1v2
-1p2 = 0 + -1v2
Remove the zero:
-1p2 = -1v2

Divide each side by '-1'.
p2 = v2

Simplifying
p2 = v2

Take the square root of each side:
p = {-1v, v}

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