x^2+2x+1=3x-10-(3-x)

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Solution for x^2+2x+1=3x-10-(3-x) equation: 


Simplifying
x2 + 2x + 1 = 3x + -10 + -1(3 + -1x)

Reorder the terms:
1 + 2x + x2 = 3x + -10 + -1(3 + -1x)
1 + 2x + x2 = 3x + -10 + (3 * -1 + -1x * -1)
1 + 2x + x2 = 3x + -10 + (-3 + 1x)

Reorder the terms:
1 + 2x + x2 = -10 + -3 + 3x + 1x

Combine like terms: -10 + -3 = -13
1 + 2x + x2 = -13 + 3x + 1x

Combine like terms: 3x + 1x = 4x
1 + 2x + x2 = -13 + 4x

Solving
1 + 2x + x2 = -13 + 4x

Solving for variable 'x'.

Reorder the terms:
1 + 13 + 2x + -4x + x2 = -13 + 4x + 13 + -4x

Combine like terms: 1 + 13 = 14
14 + 2x + -4x + x2 = -13 + 4x + 13 + -4x

Combine like terms: 2x + -4x = -2x
14 + -2x + x2 = -13 + 4x + 13 + -4x

Reorder the terms:
14 + -2x + x2 = -13 + 13 + 4x + -4x

Combine like terms: -13 + 13 = 0
14 + -2x + x2 = 0 + 4x + -4x
14 + -2x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -2x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -2x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2x + x2 = 0 + -14
-2x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-2x + x2 = -14

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 = -14 + 1

Reorder the terms:
1 + -2x + x2 = -14 + 1

Combine like terms: -14 + 1 = -13
1 + -2x + x2 = -13

Factor a perfect square on the left side:
(x + -1)(x + -1) = -13

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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