0.158x^2+0.014x-0.434=0

Solution for 0.158x^2+0.014x-0.434=0 equation:

Simplifying
0.158x2 + 0.014x + -0.434 = 0

Reorder the terms:
-0.434 + 0.014x + 0.158x2 = 0

Solving
-0.434 + 0.014x + 0.158x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.158'.
-2.746835443 + 0.08860759494x + x2 = 0

Move the constant term to the right:

Add '2.746835443' to each side of the equation.
-2.746835443 + 0.08860759494x + 2.746835443 + x2 = 0 + 2.746835443

Reorder the terms:
-2.746835443 + 2.746835443 + 0.08860759494x + x2 = 0 + 2.746835443

Combine like terms: -2.746835443 + 2.746835443 = 0.000000000
0.000000000 + 0.08860759494x + x2 = 0 + 2.746835443
0.08860759494x + x2 = 0 + 2.746835443

Combine like terms: 0 + 2.746835443 = 2.746835443
0.08860759494x + x2 = 2.746835443

The x term is 0.08860759494x.  Take half its coefficient (0.04430379747).
Square it (0.001962826470) and add it to both sides.

Add '0.001962826470' to each side of the equation.
0.08860759494x + 0.001962826470 + x2 = 2.746835443 + 0.001962826470

Reorder the terms:
0.001962826470 + 0.08860759494x + x2 = 2.746835443 + 0.001962826470

Combine like terms: 2.746835443 + 0.001962826470 = 2.74879826947
0.001962826470 + 0.08860759494x + x2 = 2.74879826947

Factor a perfect square on the left side:
(x + 0.04430379747)(x + 0.04430379747) = 2.74879826947

Calculate the square root of the right side: 1.65795002

Break this problem into two subproblems by setting 
(x + 0.04430379747) equal to 1.65795002 and -1.65795002.

Subproblem 1
x + 0.04430379747 = 1.65795002

Simplifying
x + 0.04430379747 = 1.65795002

Reorder the terms:
0.04430379747 + x = 1.65795002

Solving
0.04430379747 + x = 1.65795002

Solving for variable 'x'.

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

Add '-0.04430379747' to each side of the equation.
0.04430379747 + -0.04430379747 + x = 1.65795002 + -0.04430379747

Combine like terms: 0.04430379747 + -0.04430379747 = 0.00000000000
0.00000000000 + x = 1.65795002 + -0.04430379747
x = 1.65795002 + -0.04430379747

Combine like terms: 1.65795002 + -0.04430379747 = 1.61364622253
x = 1.61364622253

Simplifying
x = 1.61364622253

Subproblem 2
x + 0.04430379747 = -1.65795002

Simplifying
x + 0.04430379747 = -1.65795002

Reorder the terms:
0.04430379747 + x = -1.65795002

Solving
0.04430379747 + x = -1.65795002

Solving for variable 'x'.

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

Add '-0.04430379747' to each side of the equation.
0.04430379747 + -0.04430379747 + x = -1.65795002 + -0.04430379747

Combine like terms: 0.04430379747 + -0.04430379747 = 0.00000000000
0.00000000000 + x = -1.65795002 + -0.04430379747
x = -1.65795002 + -0.04430379747

Combine like terms: -1.65795002 + -0.04430379747 = -1.70225381747
x = -1.70225381747

Simplifying
x = -1.70225381747

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.61364622253, -1.70225381747}