(x^2)*1562500-x*5000+50=0

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Solution for (x^2)*1562500-x*5000+50=0 equation:


Simplifying
(x2) * 1562500 + -1x * 5000 + 50 = 0

Reorder the terms for easier multiplication:
1562500x2 + -1x * 5000 + 50 = 0

Reorder the terms for easier multiplication:
1562500x2 + -1 * 5000x + 50 = 0

Multiply -1 * 5000
1562500x2 + -5000x + 50 = 0

Reorder the terms:
50 + -5000x + 1562500x2 = 0

Solving
50 + -5000x + 1562500x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '50'.
50(1 + -100x + 31250x2) = 0

Ignore the factor 50.

Subproblem 1
Set the factor '(1 + -100x + 31250x2)' equal to zero and attempt to solve:

Simplifying
1 + -100x + 31250x2 = 0

Solving
1 + -100x + 31250x2 = 0

Begin completing the square.  Divide all terms by
31250 the coefficient of the squared term: 

Divide each side by '31250'.
0.000032 + -0.0032x + x2 = 0.0

Move the constant term to the right:

Add '-0.000032' to each side of the equation.
0.000032 + -0.0032x + -0.000032 + x2 = 0.0 + -0.000032

Reorder the terms:
0.000032 + -0.000032 + -0.0032x + x2 = 0.0 + -0.000032

Combine like terms: 0.000032 + -0.000032 = 0.000000
0.000000 + -0.0032x + x2 = 0.0 + -0.000032
-0.0032x + x2 = 0.0 + -0.000032

Combine like terms: 0.0 + -0.000032 = -0.000032
-0.0032x + x2 = -0.000032

The x term is -0.0032x.  Take half its coefficient (-0.0016).
Square it (0.00000256) and add it to both sides.

Add '0.00000256' to each side of the equation.
-0.0032x + 0.00000256 + x2 = -0.000032 + 0.00000256

Reorder the terms:
0.00000256 + -0.0032x + x2 = -0.000032 + 0.00000256

Combine like terms: -0.000032 + 0.00000256 = -0.00002944
0.00000256 + -0.0032x + x2 = -0.00002944

Factor a perfect square on the left side:
(x + -0.0016)(x + -0.0016) = -0.00002944

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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