1177000000=(0.07x^2)+(47.4x)+500

Solution for 1177000000=(0.07x^2)+(47.4x)+500 equation:

Simplifying
1177000000 = (0.07x2) + (47.4x) + 500

Reorder the terms:
1177000000 = 500 + (47.4x) + (0.07x2)

Solving
1177000000 = 500 + (47.4x) + (0.07x2)

Solving for variable 'x'.

Combine like terms: 1177000000 + -500 = 1176999500
1176999500 + (-47.4x) + (-0.07x2) = 500 + (47.4x) + (0.07x2) + -500 + (-47.4x) + (-0.07x2)

Reorder the terms:
1176999500 + (-47.4x) + (-0.07x2) = 500 + -500 + (47.4x) + (-47.4x) + (0.07x2) + (-0.07x2)

Combine like terms: 500 + -500 = 0
1176999500 + (-47.4x) + (-0.07x2) = 0 + (47.4x) + (-47.4x) + (0.07x2) + (-0.07x2)
1176999500 + (-47.4x) + (-0.07x2) = (47.4x) + (-47.4x) + (0.07x2) + (-0.07x2)

Combine like terms: (47.4x) + (-47.4x) = 0.0
1176999500 + (-47.4x) + (-0.07x2) = 0.0 + (0.07x2) + (-0.07x2)
1176999500 + (-47.4x) + (-0.07x2) = (0.07x2) + (-0.07x2)

Combine like terms: (0.07x2) + (-0.07x2) = 0.00
1176999500 + (-47.4x) + (-0.07x2) = 0.00

Begin completing the square.  Divide all terms by
-0.07 the coefficient of the squared term: 

Divide each side by '-0.07'.
-16814278570 + (677.1428571x) + x2 = 0

Move the constant term to the right:

Add '16814278570' to each side of the equation.
-16814278570 + (677.1428571x) + 16814278570 + x2 = 0 + 16814278570

Reorder the terms:
-16814278570 + 16814278570 + (677.1428571x) + x2 = 0 + 16814278570

Combine like terms: -16814278570 + 16814278570 = 0
0 + (677.1428571x) + x2 = 0 + 16814278570
(677.1428571x) + x2 = 0 + 16814278570

Combine like terms: 0 + 16814278570 = 16814278570
(677.1428571x) + x2 = 16814278570

The x term is (677.1428571x).  Take half its coefficient (338.5714286).
Square it (114630.6123) and add it to both sides.

Add '114630.6123' to each side of the equation.
(677.1428571x) + 114630.6123 + x2 = 16814278570 + 114630.6123

Reorder the terms:
114630.6123 + (677.1428571x) + x2 = 16814278570 + 114630.6123

Combine like terms: 16814278570 + 114630.6123 = 16814393200.6123
114630.6123 + (677.1428571x) + x2 = 16814393200.6123

Factor a perfect square on the left side:
((x) + 338.5714286)((x) + 338.5714286) = 16814393200.6123

Calculate the square root of the right side: 129670.325057865

Break this problem into two subproblems by setting 
((x) + 338.5714286) equal to 129670.325057865 and -129670.325057865.

Subproblem 1
(x) + 338.5714286 = 129670.325057865

Simplifying
(x) + 338.5714286 = 129670.325057865
x + 338.5714286 = 129670.325057865

Reorder the terms:
338.5714286 + x = 129670.325057865

Solving
338.5714286 + x = 129670.325057865

Solving for variable 'x'.

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

Add '-338.5714286' to each side of the equation.
338.5714286 + -338.5714286 + x = 129670.325057865 + -338.5714286

Combine like terms: 338.5714286 + -338.5714286 = 0.0000000
0.0000000 + x = 129670.325057865 + -338.5714286
x = 129670.325057865 + -338.5714286

Combine like terms: 129670.325057865 + -338.5714286 = 129331.753629265
x = 129331.753629265

Simplifying
x = 129331.753629265

Subproblem 2
(x) + 338.5714286 = -129670.325057865

Simplifying
(x) + 338.5714286 = -129670.325057865
x + 338.5714286 = -129670.325057865

Reorder the terms:
338.5714286 + x = -129670.325057865

Solving
338.5714286 + x = -129670.325057865

Solving for variable 'x'.

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

Add '-338.5714286' to each side of the equation.
338.5714286 + -338.5714286 + x = -129670.325057865 + -338.5714286

Combine like terms: 338.5714286 + -338.5714286 = 0.0000000
0.0000000 + x = -129670.325057865 + -338.5714286
x = -129670.325057865 + -338.5714286

Combine like terms: -129670.325057865 + -338.5714286 = -130008.896486465
x = -130008.896486465

Simplifying
x = -130008.896486465

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {129331.753629265, -130008.896486465}