2x-56x+8x+59x*28x=65+6x

Solution for 2x-56x+8x+59x*28x=65+6x equation:

Simplifying
2x + -56x + 8x + 59x * 28x = 65 + 6x

Reorder the terms for easier multiplication:
2x + -56x + 8x + 59 * 28x * x = 65 + 6x

Multiply 59 * 28
2x + -56x + 8x + 1652x * x = 65 + 6x

Multiply x * x
2x + -56x + 8x + 1652x2 = 65 + 6x

Combine like terms: 2x + -56x = -54x
-54x + 8x + 1652x2 = 65 + 6x

Combine like terms: -54x + 8x = -46x
-46x + 1652x2 = 65 + 6x

Solving
-46x + 1652x2 = 65 + 6x

Solving for variable 'x'.

Reorder the terms:
-65 + -46x + -6x + 1652x2 = 65 + 6x + -65 + -6x

Combine like terms: -46x + -6x = -52x
-65 + -52x + 1652x2 = 65 + 6x + -65 + -6x

Reorder the terms:
-65 + -52x + 1652x2 = 65 + -65 + 6x + -6x

Combine like terms: 65 + -65 = 0
-65 + -52x + 1652x2 = 0 + 6x + -6x
-65 + -52x + 1652x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-65 + -52x + 1652x2 = 0

Begin completing the square.  Divide all terms by
1652 the coefficient of the squared term: 

Divide each side by '1652'.
-0.03934624697 + -0.03147699758x + x2 = 0

Move the constant term to the right:

Add '0.03934624697' to each side of the equation.
-0.03934624697 + -0.03147699758x + 0.03934624697 + x2 = 0 + 0.03934624697

Reorder the terms:
-0.03934624697 + 0.03934624697 + -0.03147699758x + x2 = 0 + 0.03934624697

Combine like terms: -0.03934624697 + 0.03934624697 = 0.00000000000
0.00000000000 + -0.03147699758x + x2 = 0 + 0.03934624697
-0.03147699758x + x2 = 0 + 0.03934624697

Combine like terms: 0 + 0.03934624697 = 0.03934624697
-0.03147699758x + x2 = 0.03934624697

The x term is -0.03147699758x.  Take half its coefficient (-0.01573849879).
Square it (0.0002477003442) and add it to both sides.

Add '0.0002477003442' to each side of the equation.
-0.03147699758x + 0.0002477003442 + x2 = 0.03934624697 + 0.0002477003442

Reorder the terms:
0.0002477003442 + -0.03147699758x + x2 = 0.03934624697 + 0.0002477003442

Combine like terms: 0.03934624697 + 0.0002477003442 = 0.0395939473142
0.0002477003442 + -0.03147699758x + x2 = 0.0395939473142

Factor a perfect square on the left side:
(x + -0.01573849879)(x + -0.01573849879) = 0.0395939473142

Calculate the square root of the right side: 0.198982279

Break this problem into two subproblems by setting 
(x + -0.01573849879) equal to 0.198982279 and -0.198982279.

Subproblem 1
x + -0.01573849879 = 0.198982279

Simplifying
x + -0.01573849879 = 0.198982279

Reorder the terms:
-0.01573849879 + x = 0.198982279

Solving
-0.01573849879 + x = 0.198982279

Solving for variable 'x'.

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

Add '0.01573849879' to each side of the equation.
-0.01573849879 + 0.01573849879 + x = 0.198982279 + 0.01573849879

Combine like terms: -0.01573849879 + 0.01573849879 = 0.00000000000
0.00000000000 + x = 0.198982279 + 0.01573849879
x = 0.198982279 + 0.01573849879

Combine like terms: 0.198982279 + 0.01573849879 = 0.21472077779
x = 0.21472077779

Simplifying
x = 0.21472077779

Subproblem 2
x + -0.01573849879 = -0.198982279

Simplifying
x + -0.01573849879 = -0.198982279

Reorder the terms:
-0.01573849879 + x = -0.198982279

Solving
-0.01573849879 + x = -0.198982279

Solving for variable 'x'.

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

Add '0.01573849879' to each side of the equation.
-0.01573849879 + 0.01573849879 + x = -0.198982279 + 0.01573849879

Combine like terms: -0.01573849879 + 0.01573849879 = 0.00000000000
0.00000000000 + x = -0.198982279 + 0.01573849879
x = -0.198982279 + 0.01573849879

Combine like terms: -0.198982279 + 0.01573849879 = -0.18324378021
x = -0.18324378021

Simplifying
x = -0.18324378021

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.21472077779, -0.18324378021}