-(3+x(5x)-(x-(3x-5)))=

Solution for -(3+x(5x)-(x-(3x-5)))= equation:

Simplifying
-1(3 + x(5x) + -1(x + -1(3x + -5))) = 0

Remove parenthesis around (5x)
-1(3 + x * 5x + -1(x + -1(3x + -5))) = 0

Reorder the terms for easier multiplication:
-1(3 + 5x * x + -1(x + -1(3x + -5))) = 0

Multiply x * x
-1(3 + 5x2 + -1(x + -1(3x + -5))) = 0

Reorder the terms:
-1(3 + 5x2 + -1(x + -1(-5 + 3x))) = 0
-1(3 + 5x2 + -1(x + (-5 * -1 + 3x * -1))) = 0
-1(3 + 5x2 + -1(x + (5 + -3x))) = 0

Reorder the terms:
-1(3 + 5x2 + -1(5 + x + -3x)) = 0

Combine like terms: x + -3x = -2x
-1(3 + 5x2 + -1(5 + -2x)) = 0
-1(3 + 5x2 + (5 * -1 + -2x * -1)) = 0
-1(3 + 5x2 + (-5 + 2x)) = 0

Reorder the terms:
-1(3 + -5 + 2x + 5x2) = 0

Combine like terms: 3 + -5 = -2
-1(-2 + 2x + 5x2) = 0
(-2 * -1 + 2x * -1 + 5x2 * -1) = 0
(2 + -2x + -5x2) = 0

Solving
2 + -2x + -5x2 = 0

Solving for variable 'x'.

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

Divide each side by '-5'.
-0.4 + 0.4x + x2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + 0.4x + 0.4 + x2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + 0.4x + x2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.4x + x2 = 0 + 0.4
0.4x + x2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
0.4x + x2 = 0.4

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = 0.4 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = 0.4 + 0.04

Combine like terms: 0.4 + 0.04 = 0.44
0.04 + 0.4x + x2 = 0.44

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = 0.44

Calculate the square root of the right side: 0.663324958

Break this problem into two subproblems by setting 
(x + 0.2) equal to 0.663324958 and -0.663324958.

Subproblem 1
x + 0.2 = 0.663324958

Simplifying
x + 0.2 = 0.663324958

Reorder the terms:
0.2 + x = 0.663324958

Solving
0.2 + x = 0.663324958

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + x = 0.663324958 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + x = 0.663324958 + -0.2
x = 0.663324958 + -0.2

Combine like terms: 0.663324958 + -0.2 = 0.463324958
x = 0.463324958

Simplifying
x = 0.463324958

Subproblem 2
x + 0.2 = -0.663324958

Simplifying
x + 0.2 = -0.663324958

Reorder the terms:
0.2 + x = -0.663324958

Solving
0.2 + x = -0.663324958

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + x = -0.663324958 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + x = -0.663324958 + -0.2
x = -0.663324958 + -0.2

Combine like terms: -0.663324958 + -0.2 = -0.863324958
x = -0.863324958

Simplifying
x = -0.863324958

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.463324958, -0.863324958}