3x^2-56x+640=0

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Solution for 3x^2-56x+640=0 equation: 


Simplifying
3x2 + -56x + 640 = 0

Reorder the terms:
640 + -56x + 3x2 = 0

Solving
640 + -56x + 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'.
213.3333333 + -18.66666667x + x2 = 0

Move the constant term to the right:

Add '-213.3333333' to each side of the equation.
213.3333333 + -18.66666667x + -213.3333333 + x2 = 0 + -213.3333333

Reorder the terms:
213.3333333 + -213.3333333 + -18.66666667x + x2 = 0 + -213.3333333

Combine like terms: 213.3333333 + -213.3333333 = 0.0000000
0.0000000 + -18.66666667x + x2 = 0 + -213.3333333
-18.66666667x + x2 = 0 + -213.3333333

Combine like terms: 0 + -213.3333333 = -213.3333333
-18.66666667x + x2 = -213.3333333

The x term is -18.66666667x.  Take half its coefficient (-9.333333335).
Square it (87.11111114) and add it to both sides.

Add '87.11111114' to each side of the equation.
-18.66666667x + 87.11111114 + x2 = -213.3333333 + 87.11111114

Reorder the terms:
87.11111114 + -18.66666667x + x2 = -213.3333333 + 87.11111114

Combine like terms: -213.3333333 + 87.11111114 = -126.22222216
87.11111114 + -18.66666667x + x2 = -126.22222216

Factor a perfect square on the left side:
(x + -9.333333335)(x + -9.333333335) = -126.22222216

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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