x^2+0.8x+0.15=

Solution for x^2+0.8x+0.15= equation:

Simplifying
x2 + 0.8x + 0.15 = 0

Reorder the terms:
0.15 + 0.8x + x2 = 0

Solving
0.15 + 0.8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.15' to each side of the equation.
0.15 + 0.8x + -0.15 + x2 = 0 + -0.15

Reorder the terms:
0.15 + -0.15 + 0.8x + x2 = 0 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + 0.8x + x2 = 0 + -0.15
0.8x + x2 = 0 + -0.15

Combine like terms: 0 + -0.15 = -0.15
0.8x + x2 = -0.15

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -0.15 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -0.15 + 0.16

Combine like terms: -0.15 + 0.16 = 0.01
0.16 + 0.8x + x2 = 0.01

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = 0.01

Calculate the square root of the right side: 0.1

Break this problem into two subproblems by setting 
(x + 0.4) equal to 0.1 and -0.1.

Subproblem 1
x + 0.4 = 0.1

Simplifying
x + 0.4 = 0.1

Reorder the terms:
0.4 + x = 0.1

Solving
0.4 + x = 0.1

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + x = 0.1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x = 0.1 + -0.4
x = 0.1 + -0.4

Combine like terms: 0.1 + -0.4 = -0.3
x = -0.3

Simplifying
x = -0.3

Subproblem 2
x + 0.4 = -0.1

Simplifying
x + 0.4 = -0.1

Reorder the terms:
0.4 + x = -0.1

Solving
0.4 + x = -0.1

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + x = -0.1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x = -0.1 + -0.4
x = -0.1 + -0.4

Combine like terms: -0.1 + -0.4 = -0.5
x = -0.5

Simplifying
x = -0.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.3, -0.5}