x^2+2x+0.9375=0

Solution for x^2+2x+0.9375=0 equation:

Simplifying
x2 + 2x + 0.9375 = 0

Reorder the terms:
0.9375 + 2x + x2 = 0

Solving
0.9375 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.9375' to each side of the equation.
0.9375 + 2x + -0.9375 + x2 = 0 + -0.9375

Reorder the terms:
0.9375 + -0.9375 + 2x + x2 = 0 + -0.9375

Combine like terms: 0.9375 + -0.9375 = 0.0000
0.0000 + 2x + x2 = 0 + -0.9375
2x + x2 = 0 + -0.9375

Combine like terms: 0 + -0.9375 = -0.9375
2x + x2 = -0.9375

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 = -0.9375 + 1

Reorder the terms:
1 + 2x + x2 = -0.9375 + 1

Combine like terms: -0.9375 + 1 = 0.0625
1 + 2x + x2 = 0.0625

Factor a perfect square on the left side:
(x + 1)(x + 1) = 0.0625

Calculate the square root of the right side: 0.25

Break this problem into two subproblems by setting 
(x + 1) equal to 0.25 and -0.25.

Subproblem 1
x + 1 = 0.25

Simplifying
x + 1 = 0.25

Reorder the terms:
1 + x = 0.25

Solving
1 + x = 0.25

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 = 0.25 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0.25 + -1
x = 0.25 + -1

Combine like terms: 0.25 + -1 = -0.75
x = -0.75

Simplifying
x = -0.75

Subproblem 2
x + 1 = -0.25

Simplifying
x + 1 = -0.25

Reorder the terms:
1 + x = -0.25

Solving
1 + x = -0.25

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 = -0.25 + -1

Combine like terms: 1 + -1 = 0
0 + x = -0.25 + -1
x = -0.25 + -1

Combine like terms: -0.25 + -1 = -1.25
x = -1.25

Simplifying
x = -1.25

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.75, -1.25}