x*24-4-x-4+6*x+56+x*5+x-x*x-6+x*50=

Solution for x*24-4-x-4+6*x+56+x*5+x-x*x-6+x*50= equation:

Simplifying
x * 24 + -4 + -1x + -4 + 6x + 56 + x * 5 + x + -1x * x + -6 + x * 50 = 0

Reorder the terms for easier multiplication:
24x + -4 + -1x + -4 + 6x + 56 + x * 5 + x + -1x * x + -6 + x * 50 = 0

Reorder the terms for easier multiplication:
24x + -4 + -1x + -4 + 6x + 56 + 5x + x + -1x * x + -6 + x * 50 = 0

Multiply x * x
24x + -4 + -1x + -4 + 6x + 56 + 5x + x + -1x2 + -6 + x * 50 = 0

Reorder the terms for easier multiplication:
24x + -4 + -1x + -4 + 6x + 56 + 5x + x + -1x2 + -6 + 50x = 0

Reorder the terms:
-4 + -4 + 56 + -6 + 24x + -1x + 6x + 5x + x + 50x + -1x2 = 0

Combine like terms: -4 + -4 = -8
-8 + 56 + -6 + 24x + -1x + 6x + 5x + x + 50x + -1x2 = 0

Combine like terms: -8 + 56 = 48
48 + -6 + 24x + -1x + 6x + 5x + x + 50x + -1x2 = 0

Combine like terms: 48 + -6 = 42
42 + 24x + -1x + 6x + 5x + x + 50x + -1x2 = 0

Combine like terms: 24x + -1x = 23x
42 + 23x + 6x + 5x + x + 50x + -1x2 = 0

Combine like terms: 23x + 6x = 29x
42 + 29x + 5x + x + 50x + -1x2 = 0

Combine like terms: 29x + 5x = 34x
42 + 34x + x + 50x + -1x2 = 0

Combine like terms: 34x + x = 35x
42 + 35x + 50x + -1x2 = 0

Combine like terms: 35x + 50x = 85x
42 + 85x + -1x2 = 0

Solving
42 + 85x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-42 + -85x + x2 = 0

Move the constant term to the right:

Add '42' to each side of the equation.
-42 + -85x + 42 + x2 = 0 + 42

Reorder the terms:
-42 + 42 + -85x + x2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -85x + x2 = 0 + 42
-85x + x2 = 0 + 42

Combine like terms: 0 + 42 = 42
-85x + x2 = 42

The x term is -85x.  Take half its coefficient (-42.5).
Square it (1806.25) and add it to both sides.

Add '1806.25' to each side of the equation.
-85x + 1806.25 + x2 = 42 + 1806.25

Reorder the terms:
1806.25 + -85x + x2 = 42 + 1806.25

Combine like terms: 42 + 1806.25 = 1848.25
1806.25 + -85x + x2 = 1848.25

Factor a perfect square on the left side:
(x + -42.5)(x + -42.5) = 1848.25

Calculate the square root of the right side: 42.991278185

Break this problem into two subproblems by setting 
(x + -42.5) equal to 42.991278185 and -42.991278185.

Subproblem 1
x + -42.5 = 42.991278185

Simplifying
x + -42.5 = 42.991278185

Reorder the terms:
-42.5 + x = 42.991278185

Solving
-42.5 + x = 42.991278185

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42.5' to each side of the equation.
-42.5 + 42.5 + x = 42.991278185 + 42.5

Combine like terms: -42.5 + 42.5 = 0.0
0.0 + x = 42.991278185 + 42.5
x = 42.991278185 + 42.5

Combine like terms: 42.991278185 + 42.5 = 85.491278185
x = 85.491278185

Simplifying
x = 85.491278185

Subproblem 2
x + -42.5 = -42.991278185

Simplifying
x + -42.5 = -42.991278185

Reorder the terms:
-42.5 + x = -42.991278185

Solving
-42.5 + x = -42.991278185

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42.5' to each side of the equation.
-42.5 + 42.5 + x = -42.991278185 + 42.5

Combine like terms: -42.5 + 42.5 = 0.0
0.0 + x = -42.991278185 + 42.5
x = -42.991278185 + 42.5

Combine like terms: -42.991278185 + 42.5 = -0.491278185
x = -0.491278185

Simplifying
x = -0.491278185

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {85.491278185, -0.491278185}