(x+0.7)(x+1.3)=0

Solution for (x+0.7)(x+1.3)=0 equation:

Simplifying
(x + 0.7)(x + 1.3) = 0

Reorder the terms:
(0.7 + x)(x + 1.3) = 0

Reorder the terms:
(0.7 + x)(1.3 + x) = 0

Multiply (0.7 + x) * (1.3 + x)
(0.7(1.3 + x) + x(1.3 + x)) = 0
((1.3 * 0.7 + x * 0.7) + x(1.3 + x)) = 0
((0.91 + 0.7x) + x(1.3 + x)) = 0
(0.91 + 0.7x + (1.3 * x + x * x)) = 0
(0.91 + 0.7x + (1.3x + x2)) = 0

Combine like terms: 0.7x + 1.3x = 2x
(0.91 + 2x + x2) = 0

Solving
0.91 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.91' to each side of the equation.
0.91 + 2x + -0.91 + x2 = 0 + -0.91

Reorder the terms:
0.91 + -0.91 + 2x + x2 = 0 + -0.91

Combine like terms: 0.91 + -0.91 = 0.00
0.00 + 2x + x2 = 0 + -0.91
2x + x2 = 0 + -0.91

Combine like terms: 0 + -0.91 = -0.91
2x + x2 = -0.91

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -0.91 + 1

Reorder the terms:
1 + 2x + x2 = -0.91 + 1

Combine like terms: -0.91 + 1 = 0.09
1 + 2x + x2 = 0.09

Factor a perfect square on the left side:
(x + 1)(x + 1) = 0.09

Calculate the square root of the right side: 0.3

Break this problem into two subproblems by setting 
(x + 1) equal to 0.3 and -0.3.

Subproblem 1
x + 1 = 0.3

Simplifying
x + 1 = 0.3

Reorder the terms:
1 + x = 0.3

Solving
1 + x = 0.3

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 0.3 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0.3 + -1
x = 0.3 + -1

Combine like terms: 0.3 + -1 = -0.7
x = -0.7

Simplifying
x = -0.7

Subproblem 2
x + 1 = -0.3

Simplifying
x + 1 = -0.3

Reorder the terms:
1 + x = -0.3

Solving
1 + x = -0.3

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -0.3 + -1

Combine like terms: 1 + -1 = 0
0 + x = -0.3 + -1
x = -0.3 + -1

Combine like terms: -0.3 + -1 = -1.3
x = -1.3

Simplifying
x = -1.3

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.7, -1.3}