72x-6x^2-620.2=0

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Solution for 72x-6x^2-620.2=0 equation:


Simplifying
72x + -6x2 + -620.2 = 0

Reorder the terms:
-620.2 + 72x + -6x2 = 0

Solving
-620.2 + 72x + -6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
103.3666667 + -12x + x2 = 0

Move the constant term to the right:

Add '-103.3666667' to each side of the equation.
103.3666667 + -12x + -103.3666667 + x2 = 0 + -103.3666667

Reorder the terms:
103.3666667 + -103.3666667 + -12x + x2 = 0 + -103.3666667

Combine like terms: 103.3666667 + -103.3666667 = 0.0000000
0.0000000 + -12x + x2 = 0 + -103.3666667
-12x + x2 = 0 + -103.3666667

Combine like terms: 0 + -103.3666667 = -103.3666667
-12x + x2 = -103.3666667

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -103.3666667 + 36

Reorder the terms:
36 + -12x + x2 = -103.3666667 + 36

Combine like terms: -103.3666667 + 36 = -67.3666667
36 + -12x + x2 = -67.3666667

Factor a perfect square on the left side:
(x + -6)(x + -6) = -67.3666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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