-500x^2+2x-1500=0

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Solution for -500x^2+2x-1500=0 equation: 


Simplifying
-500x2 + 2x + -1500 = 0

Reorder the terms:
-1500 + 2x + -500x2 = 0

Solving
-1500 + 2x + -500x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-750 + x + -250x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-750 + x + -250x2)' equal to zero and attempt to solve:

Simplifying
-750 + x + -250x2 = 0

Solving
-750 + x + -250x2 = 0

Begin completing the square.  Divide all terms by
-250 the coefficient of the squared term: 

Divide each side by '-250'.
3 + -0.004x + x2 = 0.0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.004x + -3 + x2 = 0.0 + -3

Reorder the terms:
3 + -3 + -0.004x + x2 = 0.0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.004x + x2 = 0.0 + -3
-0.004x + x2 = 0.0 + -3

Combine like terms: 0.0 + -3 = -3
-0.004x + x2 = -3

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.004x + 0.25 + x2 = -3 + 0.25

Reorder the terms:
0.25 + -0.004x + x2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + -0.004x + x2 = -2.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.75

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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