(x+0.7)(x+1.6)=

Solution for (x+0.7)(x+1.6)= equation:

Simplifying
(x + 0.7)(x + 1.6) = 0

Reorder the terms:
(0.7 + x)(x + 1.6) = 0

Reorder the terms:
(0.7 + x)(1.6 + x) = 0

Multiply (0.7 + x) * (1.6 + x)
(0.7(1.6 + x) + x(1.6 + x)) = 0
((1.6 * 0.7 + x * 0.7) + x(1.6 + x)) = 0
((1.12 + 0.7x) + x(1.6 + x)) = 0
(1.12 + 0.7x + (1.6 * x + x * x)) = 0
(1.12 + 0.7x + (1.6x + x2)) = 0

Combine like terms: 0.7x + 1.6x = 2.3x
(1.12 + 2.3x + x2) = 0

Solving
1.12 + 2.3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.12' to each side of the equation.
1.12 + 2.3x + -1.12 + x2 = 0 + -1.12

Reorder the terms:
1.12 + -1.12 + 2.3x + x2 = 0 + -1.12

Combine like terms: 1.12 + -1.12 = 0.00
0.00 + 2.3x + x2 = 0 + -1.12
2.3x + x2 = 0 + -1.12

Combine like terms: 0 + -1.12 = -1.12
2.3x + x2 = -1.12

The x term is 2.3x.  Take half its coefficient (1.15).
Square it (1.3225) and add it to both sides.

Add '1.3225' to each side of the equation.
2.3x + 1.3225 + x2 = -1.12 + 1.3225

Reorder the terms:
1.3225 + 2.3x + x2 = -1.12 + 1.3225

Combine like terms: -1.12 + 1.3225 = 0.2025
1.3225 + 2.3x + x2 = 0.2025

Factor a perfect square on the left side:
(x + 1.15)(x + 1.15) = 0.2025

Calculate the square root of the right side: 0.45

Break this problem into two subproblems by setting 
(x + 1.15) equal to 0.45 and -0.45.

Subproblem 1
x + 1.15 = 0.45

Simplifying
x + 1.15 = 0.45

Reorder the terms:
1.15 + x = 0.45

Solving
1.15 + x = 0.45

Solving for variable 'x'.

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

Add '-1.15' to each side of the equation.
1.15 + -1.15 + x = 0.45 + -1.15

Combine like terms: 1.15 + -1.15 = 0.00
0.00 + x = 0.45 + -1.15
x = 0.45 + -1.15

Combine like terms: 0.45 + -1.15 = -0.7
x = -0.7

Simplifying
x = -0.7

Subproblem 2
x + 1.15 = -0.45

Simplifying
x + 1.15 = -0.45

Reorder the terms:
1.15 + x = -0.45

Solving
1.15 + x = -0.45

Solving for variable 'x'.

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

Add '-1.15' to each side of the equation.
1.15 + -1.15 + x = -0.45 + -1.15

Combine like terms: 1.15 + -1.15 = 0.00
0.00 + x = -0.45 + -1.15
x = -0.45 + -1.15

Combine like terms: -0.45 + -1.15 = -1.6
x = -1.6

Simplifying
x = -1.6

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.7, -1.6}