x^2-2xr+w^2=0

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Solution for x^2-2xr+w^2=0 equation:


Simplifying
x2 + -2xr + w2 = 0

Reorder the terms:
-2rx + w2 + x2 = 0

Solving
-2rx + w2 + x2 = 0

Solving for variable 'r'.

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

Add '-1w2' to each side of the equation.
-2rx + w2 + -1w2 + x2 = 0 + -1w2

Combine like terms: w2 + -1w2 = 0
-2rx + 0 + x2 = 0 + -1w2
-2rx + x2 = 0 + -1w2
Remove the zero:
-2rx + x2 = -1w2

Add '-1x2' to each side of the equation.
-2rx + x2 + -1x2 = -1w2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2rx + 0 = -1w2 + -1x2
-2rx = -1w2 + -1x2

Divide each side by '-2x'.
r = 0.5w2x-1 + 0.5x

Simplifying
r = 0.5w2x-1 + 0.5x

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