x(500-1.5x)=600000

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Solution for x(500-1.5x)=600000 equation: 


Simplifying
x(500 + -1.5x) = 600000
(500 * x + -1.5x * x) = 600000
(500x + -1.5x2) = 600000

Solving
500x + -1.5x2 = 600000

Solving for variable 'x'.

Reorder the terms:
-600000 + 500x + -1.5x2 = 600000 + -600000

Combine like terms: 600000 + -600000 = 0
-600000 + 500x + -1.5x2 = 0

Begin completing the square.  Divide all terms by
-1.5 the coefficient of the squared term: 

Divide each side by '-1.5'.
400000 + -333.3333333x + x2 = 0

Move the constant term to the right:

Add '-400000' to each side of the equation.
400000 + -333.3333333x + -400000 + x2 = 0 + -400000

Reorder the terms:
400000 + -400000 + -333.3333333x + x2 = 0 + -400000

Combine like terms: 400000 + -400000 = 0
0 + -333.3333333x + x2 = 0 + -400000
-333.3333333x + x2 = 0 + -400000

Combine like terms: 0 + -400000 = -400000
-333.3333333x + x2 = -400000

The x term is -333.3333333x.  Take half its coefficient (-166.6666667).
Square it (27777.77779) and add it to both sides.

Add '27777.77779' to each side of the equation.
-333.3333333x + 27777.77779 + x2 = -400000 + 27777.77779

Reorder the terms:
27777.77779 + -333.3333333x + x2 = -400000 + 27777.77779

Combine like terms: -400000 + 27777.77779 = -372222.22221
27777.77779 + -333.3333333x + x2 = -372222.22221

Factor a perfect square on the left side:
(x + -166.6666667)(x + -166.6666667) = -372222.22221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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