3x^2-2000x+2500000=0

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Solution for 3x^2-2000x+2500000=0 equation:


Simplifying
3x2 + -2000x + 2500000 = 0

Reorder the terms:
2500000 + -2000x + 3x2 = 0

Solving
2500000 + -2000x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
833333.3333 + -666.6666667x + x2 = 0

Move the constant term to the right:

Add '-833333.3333' to each side of the equation.
833333.3333 + -666.6666667x + -833333.3333 + x2 = 0 + -833333.3333

Reorder the terms:
833333.3333 + -833333.3333 + -666.6666667x + x2 = 0 + -833333.3333

Combine like terms: 833333.3333 + -833333.3333 = 0.0000
0.0000 + -666.6666667x + x2 = 0 + -833333.3333
-666.6666667x + x2 = 0 + -833333.3333

Combine like terms: 0 + -833333.3333 = -833333.3333
-666.6666667x + x2 = -833333.3333

The x term is -666.6666667x.  Take half its coefficient (-333.3333334).
Square it (111111.1112) and add it to both sides.

Add '111111.1112' to each side of the equation.
-666.6666667x + 111111.1112 + x2 = -833333.3333 + 111111.1112

Reorder the terms:
111111.1112 + -666.6666667x + x2 = -833333.3333 + 111111.1112

Combine like terms: -833333.3333 + 111111.1112 = -722222.2221
111111.1112 + -666.6666667x + x2 = -722222.2221

Factor a perfect square on the left side:
(x + -333.3333334)(x + -333.3333334) = -722222.2221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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