x=3x^2-300x+17500

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Solution for x=3x^2-300x+17500 equation: 


Simplifying
x = 3x2 + -300x + 17500

Reorder the terms:
x = 17500 + -300x + 3x2

Solving
x = 17500 + -300x + 3x2

Solving for variable 'x'.

Reorder the terms:
-17500 + x + 300x + -3x2 = 17500 + -300x + 3x2 + -17500 + 300x + -3x2

Combine like terms: x + 300x = 301x
-17500 + 301x + -3x2 = 17500 + -300x + 3x2 + -17500 + 300x + -3x2

Reorder the terms:
-17500 + 301x + -3x2 = 17500 + -17500 + -300x + 300x + 3x2 + -3x2

Combine like terms: 17500 + -17500 = 0
-17500 + 301x + -3x2 = 0 + -300x + 300x + 3x2 + -3x2
-17500 + 301x + -3x2 = -300x + 300x + 3x2 + -3x2

Combine like terms: -300x + 300x = 0
-17500 + 301x + -3x2 = 0 + 3x2 + -3x2
-17500 + 301x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-17500 + 301x + -3x2 = 0

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

Divide each side by '-3'.
5833.333333 + -100.3333333x + x2 = 0

Move the constant term to the right:

Add '-5833.333333' to each side of the equation.
5833.333333 + -100.3333333x + -5833.333333 + x2 = 0 + -5833.333333

Reorder the terms:
5833.333333 + -5833.333333 + -100.3333333x + x2 = 0 + -5833.333333

Combine like terms: 5833.333333 + -5833.333333 = 0.000000
0.000000 + -100.3333333x + x2 = 0 + -5833.333333
-100.3333333x + x2 = 0 + -5833.333333

Combine like terms: 0 + -5833.333333 = -5833.333333
-100.3333333x + x2 = -5833.333333

The x term is -100.3333333x.  Take half its coefficient (-50.16666665).
Square it (2516.694443) and add it to both sides.

Add '2516.694443' to each side of the equation.
-100.3333333x + 2516.694443 + x2 = -5833.333333 + 2516.694443

Reorder the terms:
2516.694443 + -100.3333333x + x2 = -5833.333333 + 2516.694443

Combine like terms: -5833.333333 + 2516.694443 = -3316.63889
2516.694443 + -100.3333333x + x2 = -3316.63889

Factor a perfect square on the left side:
(x + -50.16666665)(x + -50.16666665) = -3316.63889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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