x^2-2x+12=x+2

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Solution for x^2-2x+12=x+2 equation:


Simplifying
x2 + -2x + 12 = x + 2

Reorder the terms:
12 + -2x + x2 = x + 2

Reorder the terms:
12 + -2x + x2 = 2 + x

Solving
12 + -2x + x2 = 2 + x

Solving for variable 'x'.

Reorder the terms:
12 + -2 + -2x + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: 12 + -2 = 10
10 + -2x + -1x + x2 = 2 + x + -2 + -1x

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

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

Combine like terms: 2 + -2 = 0
10 + -3x + x2 = 0 + x + -1x
10 + -3x + x2 = x + -1x

Combine like terms: x + -1x = 0
10 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -3x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x + x2 = 0 + -10
-3x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3x + x2 = -10

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -10 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + -3x + x2 = -7.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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