-15x^2+1800x-525000=0

Solution for -15x^2+1800x-525000=0 equation:

Simplifying
-15x2 + 1800x + -525000 = 0

Reorder the terms:
-525000 + 1800x + -15x2 = 0

Solving
-525000 + 1800x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-35000 + 120x + -1x2) = 0

Ignore the factor 15.
Subproblem 1
Set the factor '(-35000 + 120x + -1x2)' equal to zero and attempt to solve:

Simplifying
-35000 + 120x + -1x2 = 0

Solving
-35000 + 120x + -1x2 = 0

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

Divide each side by '-1'.
35000 + -120x + x2 = 0

Move the constant term to the right:

Add '-35000' to each side of the equation.
35000 + -120x + -35000 + x2 = 0 + -35000

Reorder the terms:
35000 + -35000 + -120x + x2 = 0 + -35000

Combine like terms: 35000 + -35000 = 0
0 + -120x + x2 = 0 + -35000
-120x + x2 = 0 + -35000

Combine like terms: 0 + -35000 = -35000
-120x + x2 = -35000

The x term is -120x.  Take half its coefficient (-60).
Square it (3600) and add it to both sides.

Add '3600' to each side of the equation.
-120x + 3600 + x2 = -35000 + 3600

Reorder the terms:
3600 + -120x + x2 = -35000 + 3600

Combine like terms: -35000 + 3600 = -31400
3600 + -120x + x2 = -31400

Factor a perfect square on the left side:
(x + -60)(x + -60) = -31400

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.