(x-6)-2x*(x+3)=30-12x

Solution for (x-6)-2x*(x+3)=30-12x equation:

Simplifying
(x + -6) + -2x(x + 3) = 30 + -12x

Reorder the terms:
(-6 + x) + -2x(x + 3) = 30 + -12x

Remove parenthesis around (-6 + x)
-6 + x + -2x(x + 3) = 30 + -12x

Reorder the terms:
-6 + x + -2x(3 + x) = 30 + -12x
-6 + x + (3 * -2x + x * -2x) = 30 + -12x
-6 + x + (-6x + -2x2) = 30 + -12x

Combine like terms: x + -6x = -5x
-6 + -5x + -2x2 = 30 + -12x

Solving
-6 + -5x + -2x2 = 30 + -12x

Solving for variable 'x'.

Reorder the terms:
-6 + -30 + -5x + 12x + -2x2 = 30 + -12x + -30 + 12x

Combine like terms: -6 + -30 = -36
-36 + -5x + 12x + -2x2 = 30 + -12x + -30 + 12x

Combine like terms: -5x + 12x = 7x
-36 + 7x + -2x2 = 30 + -12x + -30 + 12x

Reorder the terms:
-36 + 7x + -2x2 = 30 + -30 + -12x + 12x

Combine like terms: 30 + -30 = 0
-36 + 7x + -2x2 = 0 + -12x + 12x
-36 + 7x + -2x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-36 + 7x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
18 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -3.5x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -3.5x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -3.5x + x2 = 0 + -18
-3.5x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-3.5x + x2 = -18

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -18 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -18 + 3.0625

Combine like terms: -18 + 3.0625 = -14.9375
3.0625 + -3.5x + x2 = -14.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -14.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.