0=12+x^2-3x-x+3

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Solution for 0=12+x^2-3x-x+3 equation:


Simplifying
0 = 12 + x2 + -3x + -1x + 3

Reorder the terms:
0 = 12 + 3 + -3x + -1x + x2

Combine like terms: 12 + 3 = 15
0 = 15 + -3x + -1x + x2

Combine like terms: -3x + -1x = -4x
0 = 15 + -4x + x2

Solving
0 = 15 + -4x + x2

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + 4x + -1x2 = 15 + -4x + x2 + -15 + 4x + -1x2

Reorder the terms:
-15 + 4x + -1x2 = 15 + -15 + -4x + 4x + x2 + -1x2

Combine like terms: 15 + -15 = 0
-15 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-15 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-15 + 4x + -1x2 = 0 + x2 + -1x2
-15 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 4x + -1x2 = 0

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

Divide each side by '-1'.
15 + -4x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -4x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -4x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4x + x2 = 0 + -15
-4x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-4x + x2 = -15

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -15 + 4

Reorder the terms:
4 + -4x + x2 = -15 + 4

Combine like terms: -15 + 4 = -11
4 + -4x + x2 = -11

Factor a perfect square on the left side:
(x + -2)(x + -2) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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