190=(2x+10)(x-2)

Solution for 190=(2x+10)(x-2) equation:

Simplifying
190 = (2x + 10)(x + -2)

Reorder the terms:
190 = (10 + 2x)(x + -2)

Reorder the terms:
190 = (10 + 2x)(-2 + x)

Multiply (10 + 2x) * (-2 + x)
190 = (10(-2 + x) + 2x * (-2 + x))
190 = ((-2 * 10 + x * 10) + 2x * (-2 + x))
190 = ((-20 + 10x) + 2x * (-2 + x))
190 = (-20 + 10x + (-2 * 2x + x * 2x))
190 = (-20 + 10x + (-4x + 2x2))

Combine like terms: 10x + -4x = 6x
190 = (-20 + 6x + 2x2)

Solving
190 = -20 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 190 + 20 = 210
210 + -6x + -2x2 = -20 + 6x + 2x2 + 20 + -6x + -2x2

Reorder the terms:
210 + -6x + -2x2 = -20 + 20 + 6x + -6x + 2x2 + -2x2

Combine like terms: -20 + 20 = 0
210 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
210 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
210 + -6x + -2x2 = 0 + 2x2 + -2x2
210 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
210 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(105 + -3x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(105 + -3x + -1x2)' equal to zero and attempt to solve:

Simplifying
105 + -3x + -1x2 = 0

Solving
105 + -3x + -1x2 = 0

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

Divide each side by '-1'.
-105 + 3x + x2 = 0

Move the constant term to the right:

Add '105' to each side of the equation.
-105 + 3x + 105 + x2 = 0 + 105

Reorder the terms:
-105 + 105 + 3x + x2 = 0 + 105

Combine like terms: -105 + 105 = 0
0 + 3x + x2 = 0 + 105
3x + x2 = 0 + 105

Combine like terms: 0 + 105 = 105
3x + x2 = 105

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 105 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 105 + 2.25

Combine like terms: 105 + 2.25 = 107.25
2.25 + 3x + x2 = 107.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 107.25

Calculate the square root of the right side: 10.356157589

Break this problem into two subproblems by setting 
(x + 1.5) equal to 10.356157589 and -10.356157589.

Subproblem 1
x + 1.5 = 10.356157589

Simplifying
x + 1.5 = 10.356157589

Reorder the terms:
1.5 + x = 10.356157589

Solving
1.5 + x = 10.356157589

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 10.356157589 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 10.356157589 + -1.5
x = 10.356157589 + -1.5

Combine like terms: 10.356157589 + -1.5 = 8.856157589
x = 8.856157589

Simplifying
x = 8.856157589

Subproblem 2
x + 1.5 = -10.356157589

Simplifying
x + 1.5 = -10.356157589

Reorder the terms:
1.5 + x = -10.356157589

Solving
1.5 + x = -10.356157589

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -10.356157589 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -10.356157589 + -1.5
x = -10.356157589 + -1.5

Combine like terms: -10.356157589 + -1.5 = -11.856157589
x = -11.856157589

Simplifying
x = -11.856157589

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.856157589, -11.856157589}
Solution
x = {8.856157589, -11.856157589}