2-(x-6)(x-7)=12

Solution for 2-(x-6)(x-7)=12 equation:

Simplifying
2 + -1(x + -6)(x + -7) = 12

Reorder the terms:
2 + -1(-6 + x)(x + -7) = 12

Reorder the terms:
2 + -1(-6 + x)(-7 + x) = 12

Multiply (-6 + x) * (-7 + x)
2 + -1(-6(-7 + x) + x(-7 + x)) = 12
2 + -1((-7 * -6 + x * -6) + x(-7 + x)) = 12
2 + -1((42 + -6x) + x(-7 + x)) = 12
2 + -1(42 + -6x + (-7 * x + x * x)) = 12
2 + -1(42 + -6x + (-7x + x2)) = 12

Combine like terms: -6x + -7x = -13x
2 + -1(42 + -13x + x2) = 12
2 + (42 * -1 + -13x * -1 + x2 * -1) = 12
2 + (-42 + 13x + -1x2) = 12

Combine like terms: 2 + -42 = -40
-40 + 13x + -1x2 = 12

Solving
-40 + 13x + -1x2 = 12

Solving for variable 'x'.

Reorder the terms:
-40 + -12 + 13x + -1x2 = 12 + -12

Combine like terms: -40 + -12 = -52
-52 + 13x + -1x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-52 + 13x + -1x2 = 0

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

Divide each side by '-1'.
52 + -13x + x2 = 0

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + -13x + -52 + x2 = 0 + -52

Reorder the terms:
52 + -52 + -13x + x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -13x + x2 = 0 + -52
-13x + x2 = 0 + -52

Combine like terms: 0 + -52 = -52
-13x + x2 = -52

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -52 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -52 + 42.25

Combine like terms: -52 + 42.25 = -9.75
42.25 + -13x + x2 = -9.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.