x^2-2x+6=x^2-6

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


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

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

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

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

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

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

Solving
6 + -2x = -6

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 + -6 + -2x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -6 + -6
-2x = -6 + -6

Combine like terms: -6 + -6 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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