0=0.5*166.66667*x^2+60x-0.5*6*98

Solution for 0=0.5*166.66667*x^2+60x-0.5*6*98 equation:

Simplifying
0 = 0.5 * 166.66667x2 + 60x + -0.5 * 6 * 98

Multiply 0.5 * 166.66667
0 = 83.333335x2 + 60x + -0.5 * 6 * 98

Multiply -0.5 * 6
0 = 83.333335x2 + 60x + -3 * 98

Multiply -3 * 98
0 = 83.333335x2 + 60x + -294

Reorder the terms:
0 = -294 + 60x + 83.333335x2

Solving
0 = -294 + 60x + 83.333335x2

Solving for variable 'x'.

Combine like terms: 0 + 294 = 294
294 + -60x + -83.333335x2 = -294 + 60x + 83.333335x2 + 294 + -60x + -83.333335x2

Reorder the terms:
294 + -60x + -83.333335x2 = -294 + 294 + 60x + -60x + 83.333335x2 + -83.333335x2

Combine like terms: -294 + 294 = 0
294 + -60x + -83.333335x2 = 0 + 60x + -60x + 83.333335x2 + -83.333335x2
294 + -60x + -83.333335x2 = 60x + -60x + 83.333335x2 + -83.333335x2

Combine like terms: 60x + -60x = 0
294 + -60x + -83.333335x2 = 0 + 83.333335x2 + -83.333335x2
294 + -60x + -83.333335x2 = 83.333335x2 + -83.333335x2

Combine like terms: 83.333335x2 + -83.333335x2 = 0.000000
294 + -60x + -83.333335x2 = 0.000000

Begin completing the square.  Divide all terms by
-83.333335 the coefficient of the squared term: 

Divide each side by '-83.333335'.
-3.527999929 + 0.7199999856x + x2 = 0

Move the constant term to the right:

Add '3.527999929' to each side of the equation.
-3.527999929 + 0.7199999856x + 3.527999929 + x2 = 0 + 3.527999929

Reorder the terms:
-3.527999929 + 3.527999929 + 0.7199999856x + x2 = 0 + 3.527999929

Combine like terms: -3.527999929 + 3.527999929 = 0.000000000
0.000000000 + 0.7199999856x + x2 = 0 + 3.527999929
0.7199999856x + x2 = 0 + 3.527999929

Combine like terms: 0 + 3.527999929 = 3.527999929
0.7199999856x + x2 = 3.527999929

The x term is 0.7199999856x.  Take half its coefficient (0.3599999928).
Square it (0.1295999948) and add it to both sides.

Add '0.1295999948' to each side of the equation.
0.7199999856x + 0.1295999948 + x2 = 3.527999929 + 0.1295999948

Reorder the terms:
0.1295999948 + 0.7199999856x + x2 = 3.527999929 + 0.1295999948

Combine like terms: 3.527999929 + 0.1295999948 = 3.6575999238
0.1295999948 + 0.7199999856x + x2 = 3.6575999238

Factor a perfect square on the left side:
(x + 0.3599999928)(x + 0.3599999928) = 3.6575999238

Calculate the square root of the right side: 1.912485274

Break this problem into two subproblems by setting 
(x + 0.3599999928) equal to 1.912485274 and -1.912485274.

Subproblem 1
x + 0.3599999928 = 1.912485274

Simplifying
x + 0.3599999928 = 1.912485274

Reorder the terms:
0.3599999928 + x = 1.912485274

Solving
0.3599999928 + x = 1.912485274

Solving for variable 'x'.

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

Add '-0.3599999928' to each side of the equation.
0.3599999928 + -0.3599999928 + x = 1.912485274 + -0.3599999928

Combine like terms: 0.3599999928 + -0.3599999928 = 0.0000000000
0.0000000000 + x = 1.912485274 + -0.3599999928
x = 1.912485274 + -0.3599999928

Combine like terms: 1.912485274 + -0.3599999928 = 1.5524852812
x = 1.5524852812

Simplifying
x = 1.5524852812

Subproblem 2
x + 0.3599999928 = -1.912485274

Simplifying
x + 0.3599999928 = -1.912485274

Reorder the terms:
0.3599999928 + x = -1.912485274

Solving
0.3599999928 + x = -1.912485274

Solving for variable 'x'.

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

Add '-0.3599999928' to each side of the equation.
0.3599999928 + -0.3599999928 + x = -1.912485274 + -0.3599999928

Combine like terms: 0.3599999928 + -0.3599999928 = 0.0000000000
0.0000000000 + x = -1.912485274 + -0.3599999928
x = -1.912485274 + -0.3599999928

Combine like terms: -1.912485274 + -0.3599999928 = -2.2724852668
x = -2.2724852668

Simplifying
x = -2.2724852668

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.5524852812, -2.2724852668}