a^2-x^2+2mx-m^2=0

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Solution for a^2-x^2+2mx-m^2=0 equation:


Simplifying
a2 + -1x2 + 2mx + -1m2 = 0

Reorder the terms:
a2 + 2mx + -1m2 + -1x2 = 0

Solving
a2 + 2mx + -1m2 + -1x2 = 0

Solving for variable 'a'.

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

Add '-2mx' to each side of the equation.
a2 + 2mx + -1m2 + -2mx + -1x2 = 0 + -2mx

Reorder the terms:
a2 + 2mx + -2mx + -1m2 + -1x2 = 0 + -2mx

Combine like terms: 2mx + -2mx = 0
a2 + 0 + -1m2 + -1x2 = 0 + -2mx
a2 + -1m2 + -1x2 = 0 + -2mx
Remove the zero:
a2 + -1m2 + -1x2 = -2mx

Add 'm2' to each side of the equation.
a2 + -1m2 + m2 + -1x2 = -2mx + m2

Combine like terms: -1m2 + m2 = 0
a2 + 0 + -1x2 = -2mx + m2
a2 + -1x2 = -2mx + m2

Add 'x2' to each side of the equation.
a2 + -1x2 + x2 = -2mx + m2 + x2

Combine like terms: -1x2 + x2 = 0
a2 + 0 = -2mx + m2 + x2
a2 = -2mx + m2 + x2

Simplifying
a2 = -2mx + m2 + x2

Reorder the terms:
a2 + 2mx + -1m2 + -1x2 = -2mx + 2mx + m2 + -1m2 + x2 + -1x2

Combine like terms: -2mx + 2mx = 0
a2 + 2mx + -1m2 + -1x2 = 0 + m2 + -1m2 + x2 + -1x2
a2 + 2mx + -1m2 + -1x2 = m2 + -1m2 + x2 + -1x2

Combine like terms: m2 + -1m2 = 0
a2 + 2mx + -1m2 + -1x2 = 0 + x2 + -1x2
a2 + 2mx + -1m2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
a2 + 2mx + -1m2 + -1x2 = 0

The solution to this equation could not be determined.

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