-(6x^2)-500x-20000=0

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Solution for -(6x^2)-500x-20000=0 equation: 


Simplifying
-1(6x2) + -500x + -20000 = 0

Remove parenthesis around (6x2)
-1 * 6x2 + -500x + -20000 = 0

Multiply -1 * 6
-6x2 + -500x + -20000 = 0

Reorder the terms:
-20000 + -500x + -6x2 = 0

Solving
-20000 + -500x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(10000 + 250x + 3x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(10000 + 250x + 3x2)' equal to zero and attempt to solve:

Simplifying
10000 + 250x + 3x2 = 0

Solving
10000 + 250x + 3x2 = 0

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

Divide each side by '3'.
3333.333333 + 83.33333333x + x2 = 0

Move the constant term to the right:

Add '-3333.333333' to each side of the equation.
3333.333333 + 83.33333333x + -3333.333333 + x2 = 0 + -3333.333333

Reorder the terms:
3333.333333 + -3333.333333 + 83.33333333x + x2 = 0 + -3333.333333

Combine like terms: 3333.333333 + -3333.333333 = 0.000000
0.000000 + 83.33333333x + x2 = 0 + -3333.333333
83.33333333x + x2 = 0 + -3333.333333

Combine like terms: 0 + -3333.333333 = -3333.333333
83.33333333x + x2 = -3333.333333

The x term is 83.33333333x.  Take half its coefficient (41.66666667).
Square it (1736.111111) and add it to both sides.

Add '1736.111111' to each side of the equation.
83.33333333x + 1736.111111 + x2 = -3333.333333 + 1736.111111

Reorder the terms:
1736.111111 + 83.33333333x + x2 = -3333.333333 + 1736.111111

Combine like terms: -3333.333333 + 1736.111111 = -1597.222222
1736.111111 + 83.33333333x + x2 = -1597.222222

Factor a perfect square on the left side:
(x + 41.66666667)(x + 41.66666667) = -1597.222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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