0.7x^2-28x+12000=13014.3

Solution for 0.7x^2-28x+12000=13014.3 equation:

Simplifying
0.7x2 + -28x + 12000 = 13014.3

Reorder the terms:
12000 + -28x + 0.7x2 = 13014.3

Solving
12000 + -28x + 0.7x2 = 13014.3

Solving for variable 'x'.

Reorder the terms:
12000 + -13014.3 + -28x + 0.7x2 = 13014.3 + -13014.3

Combine like terms: 12000 + -13014.3 = -1014.3
-1014.3 + -28x + 0.7x2 = 13014.3 + -13014.3

Combine like terms: 13014.3 + -13014.3 = 0.0
-1014.3 + -28x + 0.7x2 = 0.0

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

Divide each side by '0.7'.
-1449 + -40x + x2 = 0

Move the constant term to the right:

Add '1449' to each side of the equation.
-1449 + -40x + 1449 + x2 = 0 + 1449

Reorder the terms:
-1449 + 1449 + -40x + x2 = 0 + 1449

Combine like terms: -1449 + 1449 = 0
0 + -40x + x2 = 0 + 1449
-40x + x2 = 0 + 1449

Combine like terms: 0 + 1449 = 1449
-40x + x2 = 1449

The x term is -40x.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40x + 400 + x2 = 1449 + 400

Reorder the terms:
400 + -40x + x2 = 1449 + 400

Combine like terms: 1449 + 400 = 1849
400 + -40x + x2 = 1849

Factor a perfect square on the left side:
(x + -20)(x + -20) = 1849

Calculate the square root of the right side: 43

Break this problem into two subproblems by setting 
(x + -20) equal to 43 and -43.

Subproblem 1
x + -20 = 43

Simplifying
x + -20 = 43

Reorder the terms:
-20 + x = 43

Solving
-20 + x = 43

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + x = 43 + 20

Combine like terms: -20 + 20 = 0
0 + x = 43 + 20
x = 43 + 20

Combine like terms: 43 + 20 = 63
x = 63

Simplifying
x = 63

Subproblem 2
x + -20 = -43

Simplifying
x + -20 = -43

Reorder the terms:
-20 + x = -43

Solving
-20 + x = -43

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + x = -43 + 20

Combine like terms: -20 + 20 = 0
0 + x = -43 + 20
x = -43 + 20

Combine like terms: -43 + 20 = -23
x = -23

Simplifying
x = -23

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {63, -23}