(.25x)-(.125x^2)-5000=0

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Solution for (.25x)-(.125x^2)-5000=0 equation:


Simplifying
(0.25x) + -1(0.125x2) + -5000 = 0

Remove parenthesis around (0.125x2)
(0.25x) + -1 * 0.125x2 + -5000 = 0

Multiply -1 * 0.125
(0.25x) + -0.125x2 + -5000 = 0

Reorder the terms:
-5000 + (0.25x) + -0.125x2 = 0

Solving
-5000 + (0.25x) + -0.125x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.125 the coefficient of the squared term: 

Divide each side by '-0.125'.
40000 + (-2x) + x2 = 0

Move the constant term to the right:

Add '-40000' to each side of the equation.
40000 + (-2x) + -40000 + x2 = 0 + -40000

Reorder the terms:
40000 + -40000 + (-2x) + x2 = 0 + -40000

Combine like terms: 40000 + -40000 = 0
0 + (-2x) + x2 = 0 + -40000
(-2x) + x2 = 0 + -40000

Combine like terms: 0 + -40000 = -40000
(-2x) + x2 = -40000

The x term is (-2x).  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
(-2x) + 1 + x2 = -40000 + 1

Reorder the terms:
1 + (-2x) + x2 = -40000 + 1

Combine like terms: -40000 + 1 = -39999
1 + (-2x) + x2 = -39999

Factor a perfect square on the left side:
(x + -1)(x + -1) = -39999

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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