4=0.014x^2-1.19x-28.24

Solution for 4=0.014x^2-1.19x-28.24 equation:

Simplifying
4 = 0.014x2 + -1.19x + -28.24

Reorder the terms:
4 = -28.24 + -1.19x + 0.014x2

Solving
4 = -28.24 + -1.19x + 0.014x2

Solving for variable 'x'.

Combine like terms: 4 + 28.24 = 32.24
32.24 + 1.19x + -0.014x2 = -28.24 + -1.19x + 0.014x2 + 28.24 + 1.19x + -0.014x2

Reorder the terms:
32.24 + 1.19x + -0.014x2 = -28.24 + 28.24 + -1.19x + 1.19x + 0.014x2 + -0.014x2

Combine like terms: -28.24 + 28.24 = 0.00
32.24 + 1.19x + -0.014x2 = 0.00 + -1.19x + 1.19x + 0.014x2 + -0.014x2
32.24 + 1.19x + -0.014x2 = -1.19x + 1.19x + 0.014x2 + -0.014x2

Combine like terms: -1.19x + 1.19x = 0.00
32.24 + 1.19x + -0.014x2 = 0.00 + 0.014x2 + -0.014x2
32.24 + 1.19x + -0.014x2 = 0.014x2 + -0.014x2

Combine like terms: 0.014x2 + -0.014x2 = 0.000
32.24 + 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'.
-2302.857143 + -85x + x2 = 0

Move the constant term to the right:

Add '2302.857143' to each side of the equation.
-2302.857143 + -85x + 2302.857143 + x2 = 0 + 2302.857143

Reorder the terms:
-2302.857143 + 2302.857143 + -85x + x2 = 0 + 2302.857143

Combine like terms: -2302.857143 + 2302.857143 = 0.000000
0.000000 + -85x + x2 = 0 + 2302.857143
-85x + x2 = 0 + 2302.857143

Combine like terms: 0 + 2302.857143 = 2302.857143
-85x + x2 = 2302.857143

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 = 2302.857143 + 1806.25

Reorder the terms:
1806.25 + -85x + x2 = 2302.857143 + 1806.25

Combine like terms: 2302.857143 + 1806.25 = 4109.107143
1806.25 + -85x + x2 = 4109.107143

Factor a perfect square on the left side:
(x + -42.5)(x + -42.5) = 4109.107143

Calculate the square root of the right side: 64.102317766

Break this problem into two subproblems by setting 
(x + -42.5) equal to 64.102317766 and -64.102317766.

Subproblem 1
x + -42.5 = 64.102317766

Simplifying
x + -42.5 = 64.102317766

Reorder the terms:
-42.5 + x = 64.102317766

Solving
-42.5 + x = 64.102317766

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 = 64.102317766 + 42.5

Combine like terms: -42.5 + 42.5 = 0.0
0.0 + x = 64.102317766 + 42.5
x = 64.102317766 + 42.5

Combine like terms: 64.102317766 + 42.5 = 106.602317766
x = 106.602317766

Simplifying
x = 106.602317766

Subproblem 2
x + -42.5 = -64.102317766

Simplifying
x + -42.5 = -64.102317766

Reorder the terms:
-42.5 + x = -64.102317766

Solving
-42.5 + x = -64.102317766

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 = -64.102317766 + 42.5

Combine like terms: -42.5 + 42.5 = 0.0
0.0 + x = -64.102317766 + 42.5
x = -64.102317766 + 42.5

Combine like terms: -64.102317766 + 42.5 = -21.602317766
x = -21.602317766

Simplifying
x = -21.602317766

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {106.602317766, -21.602317766}