x^2-1=x^2-2x-1

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Solution for x^2-1=x^2-2x-1 equation:


Simplifying
x2 + -1 = x2 + -2x + -1

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

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

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

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

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

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

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

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

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

Solving
0 = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
0 + 2x = -2x + 2x
Remove the zero:
2x = -2x + 2x

Combine like terms: -2x + 2x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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