2x-5(4-x(x+3)+2)=5x-4(x-3)

Solution for 2x-5(4-x(x+3)+2)=5x-4(x-3) equation:

Simplifying
2x + -5(4 + -1x(x + 3) + 2) = 5x + -4(x + -3)

Reorder the terms:
2x + -5(4 + -1x(3 + x) + 2) = 5x + -4(x + -3)
2x + -5(4 + (3 * -1x + x * -1x) + 2) = 5x + -4(x + -3)
2x + -5(4 + (-3x + -1x2) + 2) = 5x + -4(x + -3)

Reorder the terms:
2x + -5(4 + 2 + -3x + -1x2) = 5x + -4(x + -3)

Combine like terms: 4 + 2 = 6
2x + -5(6 + -3x + -1x2) = 5x + -4(x + -3)
2x + (6 * -5 + -3x * -5 + -1x2 * -5) = 5x + -4(x + -3)
2x + (-30 + 15x + 5x2) = 5x + -4(x + -3)

Reorder the terms:
-30 + 2x + 15x + 5x2 = 5x + -4(x + -3)

Combine like terms: 2x + 15x = 17x
-30 + 17x + 5x2 = 5x + -4(x + -3)

Reorder the terms:
-30 + 17x + 5x2 = 5x + -4(-3 + x)
-30 + 17x + 5x2 = 5x + (-3 * -4 + x * -4)
-30 + 17x + 5x2 = 5x + (12 + -4x)

Reorder the terms:
-30 + 17x + 5x2 = 12 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-30 + 17x + 5x2 = 12 + 1x

Solving
-30 + 17x + 5x2 = 12 + 1x

Solving for variable 'x'.

Reorder the terms:
-30 + -12 + 17x + -1x + 5x2 = 12 + 1x + -12 + -1x

Combine like terms: -30 + -12 = -42
-42 + 17x + -1x + 5x2 = 12 + 1x + -12 + -1x

Combine like terms: 17x + -1x = 16x
-42 + 16x + 5x2 = 12 + 1x + -12 + -1x

Reorder the terms:
-42 + 16x + 5x2 = 12 + -12 + 1x + -1x

Combine like terms: 12 + -12 = 0
-42 + 16x + 5x2 = 0 + 1x + -1x
-42 + 16x + 5x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
-42 + 16x + 5x2 = 0

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

Divide each side by '5'.
-8.4 + 3.2x + x2 = 0

Move the constant term to the right:

Add '8.4' to each side of the equation.
-8.4 + 3.2x + 8.4 + x2 = 0 + 8.4

Reorder the terms:
-8.4 + 8.4 + 3.2x + x2 = 0 + 8.4

Combine like terms: -8.4 + 8.4 = 0.0
0.0 + 3.2x + x2 = 0 + 8.4
3.2x + x2 = 0 + 8.4

Combine like terms: 0 + 8.4 = 8.4
3.2x + x2 = 8.4

The x term is 3.2x.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2x + 2.56 + x2 = 8.4 + 2.56

Reorder the terms:
2.56 + 3.2x + x2 = 8.4 + 2.56

Combine like terms: 8.4 + 2.56 = 10.96
2.56 + 3.2x + x2 = 10.96

Factor a perfect square on the left side:
(x + 1.6)(x + 1.6) = 10.96

Calculate the square root of the right side: 3.310589071

Break this problem into two subproblems by setting 
(x + 1.6) equal to 3.310589071 and -3.310589071.

Subproblem 1
x + 1.6 = 3.310589071

Simplifying
x + 1.6 = 3.310589071

Reorder the terms:
1.6 + x = 3.310589071

Solving
1.6 + x = 3.310589071

Solving for variable 'x'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + x = 3.310589071 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + x = 3.310589071 + -1.6
x = 3.310589071 + -1.6

Combine like terms: 3.310589071 + -1.6 = 1.710589071
x = 1.710589071

Simplifying
x = 1.710589071

Subproblem 2
x + 1.6 = -3.310589071

Simplifying
x + 1.6 = -3.310589071

Reorder the terms:
1.6 + x = -3.310589071

Solving
1.6 + x = -3.310589071

Solving for variable 'x'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + x = -3.310589071 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + x = -3.310589071 + -1.6
x = -3.310589071 + -1.6

Combine like terms: -3.310589071 + -1.6 = -4.910589071
x = -4.910589071

Simplifying
x = -4.910589071

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.710589071, -4.910589071}