2x(x-4)+8=3x-8

Solution for 2x(x-4)+8=3x-8 equation:

Simplifying
2x(x + -4) + 8 = 3x + -8

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

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

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

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

Solving for variable 'x'.

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

Combine like terms: 8 + 8 = 16
16 + -8x + -3x + 2x2 = -8 + 3x + 8 + -3x

Combine like terms: -8x + -3x = -11x
16 + -11x + 2x2 = -8 + 3x + 8 + -3x

Reorder the terms:
16 + -11x + 2x2 = -8 + 8 + 3x + -3x

Combine like terms: -8 + 8 = 0
16 + -11x + 2x2 = 0 + 3x + -3x
16 + -11x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -11x + 2x2 = 0

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

Divide each side by '2'.
8 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5.5x + x2 = 0 + -8
-5.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5.5x + x2 = -8

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -8 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -8 + 7.5625

Combine like terms: -8 + 7.5625 = -0.4375
7.5625 + -5.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.