X^2-2x-6=x^2+1

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Solution for X^2-2x-6=x^2+1 equation:


Simplifying
X2 + -2x + -6 = x2 + 1

Reorder the terms:
-6 + X2 + -2x = x2 + 1

Reorder the terms:
-6 + X2 + -2x = 1 + x2

Solving
-6 + X2 + -2x = 1 + x2

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X2 + 6 + -2x = 1 + 6 + x2

Reorder the terms:
-6 + 6 + X2 + -2x = 1 + 6 + x2

Combine like terms: -6 + 6 = 0
0 + X2 + -2x = 1 + 6 + x2
X2 + -2x = 1 + 6 + x2

Combine like terms: 1 + 6 = 7
X2 + -2x = 7 + x2

Add '2x' to each side of the equation.
X2 + -2x + 2x = 7 + 2x + x2

Combine like terms: -2x + 2x = 0
X2 + 0 = 7 + 2x + x2
X2 = 7 + 2x + x2

Simplifying
X2 = 7 + 2x + x2

Reorder the terms:
-7 + X2 + -2x + -1x2 = 7 + 2x + x2 + -7 + -2x + -1x2

Reorder the terms:
-7 + X2 + -2x + -1x2 = 7 + -7 + 2x + -2x + x2 + -1x2

Combine like terms: 7 + -7 = 0
-7 + X2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-7 + X2 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-7 + X2 + -2x + -1x2 = 0 + x2 + -1x2
-7 + X2 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + X2 + -2x + -1x2 = 0

The solution to this equation could not be determined.

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