X^2+2xr+r^2=0

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Solution for X^2+2xr+r^2=0 equation:


Simplifying
X2 + 2xr + r2 = 0

Solving
X2 + 2rx + r2 = 0

Solving for variable 'X'.

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

Add '-2rx' to each side of the equation.
X2 + 2rx + -2rx + r2 = 0 + -2rx

Combine like terms: 2rx + -2rx = 0
X2 + 0 + r2 = 0 + -2rx
X2 + r2 = 0 + -2rx
Remove the zero:
X2 + r2 = -2rx

Add '-1r2' to each side of the equation.
X2 + r2 + -1r2 = -2rx + -1r2

Combine like terms: r2 + -1r2 = 0
X2 + 0 = -2rx + -1r2
X2 = -2rx + -1r2

Simplifying
X2 = -2rx + -1r2

Reorder the terms:
X2 + 2rx + r2 = -2rx + 2rx + -1r2 + r2

Combine like terms: -2rx + 2rx = 0
X2 + 2rx + r2 = 0 + -1r2 + r2
X2 + 2rx + r2 = -1r2 + r2

Combine like terms: -1r2 + r2 = 0
X2 + 2rx + r2 = 0

The solution to this equation could not be determined.

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