-5x^2+500x-18750=0

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Solution for -5x^2+500x-18750=0 equation: 


Simplifying
-5x2 + 500x + -18750 = 0

Reorder the terms:
-18750 + 500x + -5x2 = 0

Solving
-18750 + 500x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-3750 + 100x + -1x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-3750 + 100x + -1x2)' equal to zero and attempt to solve:

Simplifying
-3750 + 100x + -1x2 = 0

Solving
-3750 + 100x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3750 + -100x + x2 = 0

Move the constant term to the right:

Add '-3750' to each side of the equation.
3750 + -100x + -3750 + x2 = 0 + -3750

Reorder the terms:
3750 + -3750 + -100x + x2 = 0 + -3750

Combine like terms: 3750 + -3750 = 0
0 + -100x + x2 = 0 + -3750
-100x + x2 = 0 + -3750

Combine like terms: 0 + -3750 = -3750
-100x + x2 = -3750

The x term is -100x.  Take half its coefficient (-50).
Square it (2500) and add it to both sides.

Add '2500' to each side of the equation.
-100x + 2500 + x2 = -3750 + 2500

Reorder the terms:
2500 + -100x + x2 = -3750 + 2500

Combine like terms: -3750 + 2500 = -1250
2500 + -100x + x2 = -1250

Factor a perfect square on the left side:
(x + -50)(x + -50) = -1250

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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