8x(x-1)-2x=-(x+50)

Solution for 8x(x-1)-2x=-(x+50) equation:

Simplifying
8x(x + -1) + -2x = -1(x + 50)

Reorder the terms:
8x(-1 + x) + -2x = -1(x + 50)
(-1 * 8x + x * 8x) + -2x = -1(x + 50)
(-8x + 8x2) + -2x = -1(x + 50)

Reorder the terms:
-8x + -2x + 8x2 = -1(x + 50)

Combine like terms: -8x + -2x = -10x
-10x + 8x2 = -1(x + 50)

Reorder the terms:
-10x + 8x2 = -1(50 + x)
-10x + 8x2 = (50 * -1 + x * -1)
-10x + 8x2 = (-50 + -1x)

Solving
-10x + 8x2 = -50 + -1x

Solving for variable 'x'.

Reorder the terms:
50 + -10x + x + 8x2 = -50 + -1x + 50 + x

Combine like terms: -10x + x = -9x
50 + -9x + 8x2 = -50 + -1x + 50 + x

Reorder the terms:
50 + -9x + 8x2 = -50 + 50 + -1x + x

Combine like terms: -50 + 50 = 0
50 + -9x + 8x2 = 0 + -1x + x
50 + -9x + 8x2 = -1x + x

Combine like terms: -1x + x = 0
50 + -9x + 8x2 = 0

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

Divide each side by '8'.
6.25 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -1.125x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -1.125x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -1.125x + x2 = 0 + -6.25
-1.125x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-1.125x + x2 = -6.25

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -6.25 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -6.25 + 0.31640625

Combine like terms: -6.25 + 0.31640625 = -5.93359375
0.31640625 + -1.125x + x2 = -5.93359375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -5.93359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.