16x-8x^2-3.1415=0

Solution for 16x-8x^2-3.1415=0 equation:

Simplifying
16x + -8x2 + -3.1415 = 0

Reorder the terms:
-3.1415 + 16x + -8x2 = 0

Solving
-3.1415 + 16x + -8x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
0.3926875 + -2x + x2 = 0

Move the constant term to the right:

Add '-0.3926875' to each side of the equation.
0.3926875 + -2x + -0.3926875 + x2 = 0 + -0.3926875

Reorder the terms:
0.3926875 + -0.3926875 + -2x + x2 = 0 + -0.3926875

Combine like terms: 0.3926875 + -0.3926875 = 0.0000000
0.0000000 + -2x + x2 = 0 + -0.3926875
-2x + x2 = 0 + -0.3926875

Combine like terms: 0 + -0.3926875 = -0.3926875
-2x + x2 = -0.3926875

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 = -0.3926875 + 1

Reorder the terms:
1 + -2x + x2 = -0.3926875 + 1

Combine like terms: -0.3926875 + 1 = 0.6073125
1 + -2x + x2 = 0.6073125

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.6073125

Calculate the square root of the right side: 0.779302573

Break this problem into two subproblems by setting 
(x + -1) equal to 0.779302573 and -0.779302573.

Subproblem 1
x + -1 = 0.779302573

Simplifying
x + -1 = 0.779302573

Reorder the terms:
-1 + x = 0.779302573

Solving
-1 + x = 0.779302573

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 = 0.779302573 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0.779302573 + 1
x = 0.779302573 + 1

Combine like terms: 0.779302573 + 1 = 1.779302573
x = 1.779302573

Simplifying
x = 1.779302573

Subproblem 2
x + -1 = -0.779302573

Simplifying
x + -1 = -0.779302573

Reorder the terms:
-1 + x = -0.779302573

Solving
-1 + x = -0.779302573

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 = -0.779302573 + 1

Combine like terms: -1 + 1 = 0
0 + x = -0.779302573 + 1
x = -0.779302573 + 1

Combine like terms: -0.779302573 + 1 = 0.220697427
x = 0.220697427

Simplifying
x = 0.220697427

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.779302573, 0.220697427}