-5x(x-2)-(x+2)=50

Solution for -5x(x-2)-(x+2)=50 equation:

Simplifying
-5x(x + -2) + -1(x + 2) = 50

Reorder the terms:
-5x(-2 + x) + -1(x + 2) = 50
(-2 * -5x + x * -5x) + -1(x + 2) = 50
(10x + -5x2) + -1(x + 2) = 50

Reorder the terms:
10x + -5x2 + -1(2 + x) = 50
10x + -5x2 + (2 * -1 + x * -1) = 50
10x + -5x2 + (-2 + -1x) = 50

Reorder the terms:
-2 + 10x + -1x + -5x2 = 50

Combine like terms: 10x + -1x = 9x
-2 + 9x + -5x2 = 50

Solving
-2 + 9x + -5x2 = 50

Solving for variable 'x'.

Reorder the terms:
-2 + -50 + 9x + -5x2 = 50 + -50

Combine like terms: -2 + -50 = -52
-52 + 9x + -5x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-52 + 9x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
10.4 + -1.8x + x2 = 0

Move the constant term to the right:

Add '-10.4' to each side of the equation.
10.4 + -1.8x + -10.4 + x2 = 0 + -10.4

Reorder the terms:
10.4 + -10.4 + -1.8x + x2 = 0 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + -1.8x + x2 = 0 + -10.4
-1.8x + x2 = 0 + -10.4

Combine like terms: 0 + -10.4 = -10.4
-1.8x + x2 = -10.4

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -10.4 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -10.4 + 0.81

Combine like terms: -10.4 + 0.81 = -9.59
0.81 + -1.8x + x2 = -9.59

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = -9.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.