21x^2-28x+15000=0

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Solution for 21x^2-28x+15000=0 equation: 


Simplifying
21x2 + -28x + 15000 = 0

Reorder the terms:
15000 + -28x + 21x2 = 0

Solving
15000 + -28x + 21x2 = 0

Solving for variable 'x'.

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

Divide each side by '21'.
714.2857143 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-714.2857143' to each side of the equation.
714.2857143 + -1.333333333x + -714.2857143 + x2 = 0 + -714.2857143

Reorder the terms:
714.2857143 + -714.2857143 + -1.333333333x + x2 = 0 + -714.2857143

Combine like terms: 714.2857143 + -714.2857143 = 0.0000000
0.0000000 + -1.333333333x + x2 = 0 + -714.2857143
-1.333333333x + x2 = 0 + -714.2857143

Combine like terms: 0 + -714.2857143 = -714.2857143
-1.333333333x + x2 = -714.2857143

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -714.2857143 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -714.2857143 + 0.4444444442

Combine like terms: -714.2857143 + 0.4444444442 = -713.8412698558
0.4444444442 + -1.333333333x + x2 = -713.8412698558

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -713.8412698558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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