4x(x-2)-3(x-4)=4

Solution for 4x(x-2)-3(x-4)=4 equation:

Simplifying
4x(x + -2) + -3(x + -4) = 4

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

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

Reorder the terms:
12 + -8x + -3x + 4x2 = 4

Combine like terms: -8x + -3x = -11x
12 + -11x + 4x2 = 4

Solving
12 + -11x + 4x2 = 4

Solving for variable 'x'.

Reorder the terms:
12 + -4 + -11x + 4x2 = 4 + -4

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

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

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

Divide each side by '4'.
2 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.75x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.75x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.75x + x2 = 0 + -2
-2.75x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.75x + x2 = -2

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -2 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -2 + 1.890625

Combine like terms: -2 + 1.890625 = -0.109375
1.890625 + -2.75x + x2 = -0.109375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.