-3(4x-1)=-2[4+x(x+4)]

Solution for -3(4x-1)=-2[4+x(x+4)] equation:

Simplifying
-3(4x + -1) = -2[4 + x(x + 4)]

Reorder the terms:
-3(-1 + 4x) = -2[4 + x(x + 4)]
(-1 * -3 + 4x * -3) = -2[4 + x(x + 4)]
(3 + -12x) = -2[4 + x(x + 4)]

Reorder the terms:
3 + -12x = -2[4 + x(4 + x)]
3 + -12x = -2[4 + (4 * x + x * x)]
3 + -12x = -2[4 + (4x + x2)]
3 + -12x = [4 * -2 + 4x * -2 + x2 * -2]
3 + -12x = [-8 + -8x + -2x2]

Solving
3 + -12x = -8 + -8x + -2x2

Solving for variable 'x'.

Reorder the terms:
3 + 8 + -12x + 8x + 2x2 = -8 + -8x + -2x2 + 8 + 8x + 2x2

Combine like terms: 3 + 8 = 11
11 + -12x + 8x + 2x2 = -8 + -8x + -2x2 + 8 + 8x + 2x2

Combine like terms: -12x + 8x = -4x
11 + -4x + 2x2 = -8 + -8x + -2x2 + 8 + 8x + 2x2

Reorder the terms:
11 + -4x + 2x2 = -8 + 8 + -8x + 8x + -2x2 + 2x2

Combine like terms: -8 + 8 = 0
11 + -4x + 2x2 = 0 + -8x + 8x + -2x2 + 2x2
11 + -4x + 2x2 = -8x + 8x + -2x2 + 2x2

Combine like terms: -8x + 8x = 0
11 + -4x + 2x2 = 0 + -2x2 + 2x2
11 + -4x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
11 + -4x + 2x2 = 0

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

Divide each side by '2'.
5.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -2x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -2x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -2x + x2 = 0 + -5.5
-2x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-2x + x2 = -5.5

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 = -5.5 + 1

Reorder the terms:
1 + -2x + x2 = -5.5 + 1

Combine like terms: -5.5 + 1 = -4.5
1 + -2x + x2 = -4.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.