x+(x+2)=10+x^2

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Solution for x+(x+2)=10+x^2 equation: 


Simplifying
x + (x + 2) = 10 + x2

Reorder the terms:
x + (2 + x) = 10 + x2

Remove parenthesis around (2 + x)
x + 2 + x = 10 + x2

Reorder the terms:
2 + x + x = 10 + x2

Combine like terms: x + x = 2x
2 + 2x = 10 + x2

Solving
2 + 2x = 10 + x2

Solving for variable 'x'.

Reorder the terms:
2 + -10 + 2x + -1x2 = 10 + x2 + -10 + -1x2

Combine like terms: 2 + -10 = -8
-8 + 2x + -1x2 = 10 + x2 + -10 + -1x2

Reorder the terms:
-8 + 2x + -1x2 = 10 + -10 + x2 + -1x2

Combine like terms: 10 + -10 = 0
-8 + 2x + -1x2 = 0 + x2 + -1x2
-8 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -2x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + x2 = 0 + -8
-2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x + x2 = -8

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -8 + 1

Reorder the terms:
1 + -2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2x + x2 = -7

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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