x^2-2x+m^2-3=0

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Solution for x^2-2x+m^2-3=0 equation:


Simplifying
x2 + -2x + m2 + -3 = 0

Reorder the terms:
-3 + m2 + -2x + x2 = 0

Solving
-3 + m2 + -2x + x2 = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + m2 + -2x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + m2 + -2x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + m2 + -2x + x2 = 0 + 3
m2 + -2x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
m2 + -2x + x2 = 3

Add '2x' to each side of the equation.
m2 + -2x + 2x + x2 = 3 + 2x

Combine like terms: -2x + 2x = 0
m2 + 0 + x2 = 3 + 2x
m2 + x2 = 3 + 2x

Add '-1x2' to each side of the equation.
m2 + x2 + -1x2 = 3 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
m2 + 0 = 3 + 2x + -1x2
m2 = 3 + 2x + -1x2

Simplifying
m2 = 3 + 2x + -1x2

Reorder the terms:
-3 + m2 + -2x + x2 = 3 + 2x + -1x2 + -3 + -2x + x2

Reorder the terms:
-3 + m2 + -2x + x2 = 3 + -3 + 2x + -2x + -1x2 + x2

Combine like terms: 3 + -3 = 0
-3 + m2 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
-3 + m2 + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
-3 + m2 + -2x + x2 = 0 + -1x2 + x2
-3 + m2 + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-3 + m2 + -2x + x2 = 0

The solution to this equation could not be determined.

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