100=.014x^2+1.19x+5

Solution for 100=.014x^2+1.19x+5 equation:

Simplifying
100 = 0.014x2 + 1.19x + 5

Reorder the terms:
100 = 5 + 1.19x + 0.014x2

Solving
100 = 5 + 1.19x + 0.014x2

Solving for variable 'x'.

Combine like terms: 100 + -5 = 95
95 + -1.19x + -0.014x2 = 5 + 1.19x + 0.014x2 + -5 + -1.19x + -0.014x2

Reorder the terms:
95 + -1.19x + -0.014x2 = 5 + -5 + 1.19x + -1.19x + 0.014x2 + -0.014x2

Combine like terms: 5 + -5 = 0
95 + -1.19x + -0.014x2 = 0 + 1.19x + -1.19x + 0.014x2 + -0.014x2
95 + -1.19x + -0.014x2 = 1.19x + -1.19x + 0.014x2 + -0.014x2

Combine like terms: 1.19x + -1.19x = 0.00
95 + -1.19x + -0.014x2 = 0.00 + 0.014x2 + -0.014x2
95 + -1.19x + -0.014x2 = 0.014x2 + -0.014x2

Combine like terms: 0.014x2 + -0.014x2 = 0.000
95 + -1.19x + -0.014x2 = 0.000

Begin completing the square.  Divide all terms by
-0.014 the coefficient of the squared term: 

Divide each side by '-0.014'.
-6785.714286 + 85x + x2 = 0

Move the constant term to the right:

Add '6785.714286' to each side of the equation.
-6785.714286 + 85x + 6785.714286 + x2 = 0 + 6785.714286

Reorder the terms:
-6785.714286 + 6785.714286 + 85x + x2 = 0 + 6785.714286

Combine like terms: -6785.714286 + 6785.714286 = 0.000000
0.000000 + 85x + x2 = 0 + 6785.714286
85x + x2 = 0 + 6785.714286

Combine like terms: 0 + 6785.714286 = 6785.714286
85x + x2 = 6785.714286

The x term is 85x.  Take half its coefficient (42.5).
Square it (1806.25) and add it to both sides.

Add '1806.25' to each side of the equation.
85x + 1806.25 + x2 = 6785.714286 + 1806.25

Reorder the terms:
1806.25 + 85x + x2 = 6785.714286 + 1806.25

Combine like terms: 6785.714286 + 1806.25 = 8591.964286
1806.25 + 85x + x2 = 8591.964286

Factor a perfect square on the left side:
(x + 42.5)(x + 42.5) = 8591.964286

Calculate the square root of the right side: 92.692849163

Break this problem into two subproblems by setting 
(x + 42.5) equal to 92.692849163 and -92.692849163.

Subproblem 1
x + 42.5 = 92.692849163

Simplifying
x + 42.5 = 92.692849163

Reorder the terms:
42.5 + x = 92.692849163

Solving
42.5 + x = 92.692849163

Solving for variable 'x'.

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

Add '-42.5' to each side of the equation.
42.5 + -42.5 + x = 92.692849163 + -42.5

Combine like terms: 42.5 + -42.5 = 0.0
0.0 + x = 92.692849163 + -42.5
x = 92.692849163 + -42.5

Combine like terms: 92.692849163 + -42.5 = 50.192849163
x = 50.192849163

Simplifying
x = 50.192849163

Subproblem 2
x + 42.5 = -92.692849163

Simplifying
x + 42.5 = -92.692849163

Reorder the terms:
42.5 + x = -92.692849163

Solving
42.5 + x = -92.692849163

Solving for variable 'x'.

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

Add '-42.5' to each side of the equation.
42.5 + -42.5 + x = -92.692849163 + -42.5

Combine like terms: 42.5 + -42.5 = 0.0
0.0 + x = -92.692849163 + -42.5
x = -92.692849163 + -42.5

Combine like terms: -92.692849163 + -42.5 = -135.192849163
x = -135.192849163

Simplifying
x = -135.192849163

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {50.192849163, -135.192849163}