3*x^2-(80*x)+800=0

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Solution for 3*x^2-(80*x)+800=0 equation: 


Simplifying
3x2 + -1(80x) + 800 = 0

Remove parenthesis around (80x)
3x2 + -1 * 80x + 800 = 0

Multiply -1 * 80
3x2 + -80x + 800 = 0

Reorder the terms:
800 + -80x + 3x2 = 0

Solving
800 + -80x + 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'.
266.6666667 + -26.66666667x + x2 = 0

Move the constant term to the right:

Add '-266.6666667' to each side of the equation.
266.6666667 + -26.66666667x + -266.6666667 + x2 = 0 + -266.6666667

Reorder the terms:
266.6666667 + -266.6666667 + -26.66666667x + x2 = 0 + -266.6666667

Combine like terms: 266.6666667 + -266.6666667 = 0.0000000
0.0000000 + -26.66666667x + x2 = 0 + -266.6666667
-26.66666667x + x2 = 0 + -266.6666667

Combine like terms: 0 + -266.6666667 = -266.6666667
-26.66666667x + x2 = -266.6666667

The x term is -26.66666667x.  Take half its coefficient (-13.33333334).
Square it (177.7777780) and add it to both sides.

Add '177.7777780' to each side of the equation.
-26.66666667x + 177.7777780 + x2 = -266.6666667 + 177.7777780

Reorder the terms:
177.7777780 + -26.66666667x + x2 = -266.6666667 + 177.7777780

Combine like terms: -266.6666667 + 177.7777780 = -88.8888887
177.7777780 + -26.66666667x + x2 = -88.8888887

Factor a perfect square on the left side:
(x + -13.33333334)(x + -13.33333334) = -88.8888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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