x^2-2x-.96=0

Solution for x^2-2x-.96=0 equation:

Simplifying
x2 + -2x + -0.96 = 0

Reorder the terms:
-0.96 + -2x + x2 = 0

Solving
-0.96 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.96' to each side of the equation.
-0.96 + -2x + 0.96 + x2 = 0 + 0.96

Reorder the terms:
-0.96 + 0.96 + -2x + x2 = 0 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + -2x + x2 = 0 + 0.96
-2x + x2 = 0 + 0.96

Combine like terms: 0 + 0.96 = 0.96
-2x + x2 = 0.96

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 = 0.96 + 1

Reorder the terms:
1 + -2x + x2 = 0.96 + 1

Combine like terms: 0.96 + 1 = 1.96
1 + -2x + x2 = 1.96

Factor a perfect square on the left side:
(x + -1)(x + -1) = 1.96

Calculate the square root of the right side: 1.4

Break this problem into two subproblems by setting 
(x + -1) equal to 1.4 and -1.4.

Subproblem 1
x + -1 = 1.4

Simplifying
x + -1 = 1.4

Reorder the terms:
-1 + x = 1.4

Solving
-1 + x = 1.4

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 = 1.4 + 1

Combine like terms: -1 + 1 = 0
0 + x = 1.4 + 1
x = 1.4 + 1

Combine like terms: 1.4 + 1 = 2.4
x = 2.4

Simplifying
x = 2.4

Subproblem 2
x + -1 = -1.4

Simplifying
x + -1 = -1.4

Reorder the terms:
-1 + x = -1.4

Solving
-1 + x = -1.4

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 = -1.4 + 1

Combine like terms: -1 + 1 = 0
0 + x = -1.4 + 1
x = -1.4 + 1

Combine like terms: -1.4 + 1 = -0.4
x = -0.4

Simplifying
x = -0.4

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.4, -0.4}