X^2-2x+1=8-2x

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Solution for X^2-2x+1=8-2x equation: 


Simplifying
X2 + -2x + 1 = 8 + -2x

Reorder the terms:
1 + X2 + -2x = 8 + -2x

Add '2x' to each side of the equation.
1 + X2 + -2x + 2x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + X2 + 0 = 8 + -2x + 2x
1 + X2 = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + X2 = 8 + 0
1 + X2 = 8

Solving
1 + X2 = 8

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + -1 + X2 = 8 + -1

Combine like terms: 1 + -1 = 0
0 + X2 = 8 + -1
X2 = 8 + -1

Combine like terms: 8 + -1 = 7
X2 = 7

Simplifying
X2 = 7

Take the square root of each side:
X = {-2.645751311, 2.645751311}

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