.5(x-4)(x-4)=-8

Solution for .5(x-4)(x-4)=-8 equation:

Simplifying
0.5(x + -4)(x + -4) = -8

Reorder the terms:
0.5(-4 + x)(x + -4) = -8

Reorder the terms:
0.5(-4 + x)(-4 + x) = -8

Multiply (-4 + x) * (-4 + x)
0.5(-4(-4 + x) + x(-4 + x)) = -8
0.5((-4 * -4 + x * -4) + x(-4 + x)) = -8
0.5((16 + -4x) + x(-4 + x)) = -8
0.5(16 + -4x + (-4 * x + x * x)) = -8
0.5(16 + -4x + (-4x + x2)) = -8

Combine like terms: -4x + -4x = -8x
0.5(16 + -8x + x2) = -8
(16 * 0.5 + -8x * 0.5 + x2 * 0.5) = -8
(8 + -4x + 0.5x2) = -8

Solving
8 + -4x + 0.5x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 8 + -4x + 0.5x2 = -8 + 8

Combine like terms: 8 + 8 = 16
16 + -4x + 0.5x2 = -8 + 8

Combine like terms: -8 + 8 = 0
16 + -4x + 0.5x2 = 0

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

Divide each side by '0.5'.
32 + -8x + x2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -8x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -8x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -8x + x2 = 0 + -32
-8x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-8x + x2 = -32

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -32 + 16

Reorder the terms:
16 + -8x + x2 = -32 + 16

Combine like terms: -32 + 16 = -16
16 + -8x + x2 = -16

Factor a perfect square on the left side:
(x + -4)(x + -4) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.