x^2+2.8x+1.92=0

Solution for x^2+2.8x+1.92=0 equation:

Simplifying
x2 + 2.8x + 1.92 = 0

Reorder the terms:
1.92 + 2.8x + x2 = 0

Solving
1.92 + 2.8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.92' to each side of the equation.
1.92 + 2.8x + -1.92 + x2 = 0 + -1.92

Reorder the terms:
1.92 + -1.92 + 2.8x + x2 = 0 + -1.92

Combine like terms: 1.92 + -1.92 = 0.00
0.00 + 2.8x + x2 = 0 + -1.92
2.8x + x2 = 0 + -1.92

Combine like terms: 0 + -1.92 = -1.92
2.8x + x2 = -1.92

The x term is 2.8x.  Take half its coefficient (1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
2.8x + 1.96 + x2 = -1.92 + 1.96

Reorder the terms:
1.96 + 2.8x + x2 = -1.92 + 1.96

Combine like terms: -1.92 + 1.96 = 0.04
1.96 + 2.8x + x2 = 0.04

Factor a perfect square on the left side:
(x + 1.4)(x + 1.4) = 0.04

Calculate the square root of the right side: 0.2

Break this problem into two subproblems by setting 
(x + 1.4) equal to 0.2 and -0.2.

Subproblem 1
x + 1.4 = 0.2

Simplifying
x + 1.4 = 0.2

Reorder the terms:
1.4 + x = 0.2

Solving
1.4 + x = 0.2

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + x = 0.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + x = 0.2 + -1.4
x = 0.2 + -1.4

Combine like terms: 0.2 + -1.4 = -1.2
x = -1.2

Simplifying
x = -1.2

Subproblem 2
x + 1.4 = -0.2

Simplifying
x + 1.4 = -0.2

Reorder the terms:
1.4 + x = -0.2

Solving
1.4 + x = -0.2

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + x = -0.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + x = -0.2 + -1.4
x = -0.2 + -1.4

Combine like terms: -0.2 + -1.4 = -1.6
x = -1.6

Simplifying
x = -1.6

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.2, -1.6}