(x+1.7)(x+2.3)=0

Solution for (x+1.7)(x+2.3)=0 equation:

Simplifying
(x + 1.7)(x + 2.3) = 0

Reorder the terms:
(1.7 + x)(x + 2.3) = 0

Reorder the terms:
(1.7 + x)(2.3 + x) = 0

Multiply (1.7 + x) * (2.3 + x)
(1.7(2.3 + x) + x(2.3 + x)) = 0
((2.3 * 1.7 + x * 1.7) + x(2.3 + x)) = 0
((3.91 + 1.7x) + x(2.3 + x)) = 0
(3.91 + 1.7x + (2.3 * x + x * x)) = 0
(3.91 + 1.7x + (2.3x + x2)) = 0

Combine like terms: 1.7x + 2.3x = 4x
(3.91 + 4x + x2) = 0

Solving
3.91 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-3.91' to each side of the equation.
3.91 + 4x + -3.91 + x2 = 0 + -3.91

Reorder the terms:
3.91 + -3.91 + 4x + x2 = 0 + -3.91

Combine like terms: 3.91 + -3.91 = 0.00
0.00 + 4x + x2 = 0 + -3.91
4x + x2 = 0 + -3.91

Combine like terms: 0 + -3.91 = -3.91
4x + x2 = -3.91

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -3.91 + 4

Reorder the terms:
4 + 4x + x2 = -3.91 + 4

Combine like terms: -3.91 + 4 = 0.09
4 + 4x + x2 = 0.09

Factor a perfect square on the left side:
(x + 2)(x + 2) = 0.09

Calculate the square root of the right side: 0.3

Break this problem into two subproblems by setting 
(x + 2) equal to 0.3 and -0.3.

Subproblem 1
x + 2 = 0.3

Simplifying
x + 2 = 0.3

Reorder the terms:
2 + x = 0.3

Solving
2 + x = 0.3

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 0.3 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0.3 + -2
x = 0.3 + -2

Combine like terms: 0.3 + -2 = -1.7
x = -1.7

Simplifying
x = -1.7

Subproblem 2
x + 2 = -0.3

Simplifying
x + 2 = -0.3

Reorder the terms:
2 + x = -0.3

Solving
2 + x = -0.3

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -0.3 + -2

Combine like terms: 2 + -2 = 0
0 + x = -0.3 + -2
x = -0.3 + -2

Combine like terms: -0.3 + -2 = -2.3
x = -2.3

Simplifying
x = -2.3

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.7, -2.3}