6x^2-20x+20=0

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Solution for 6x^2-20x+20=0 equation: 


Simplifying
6x2 + -20x + 20 = 0

Reorder the terms:
20 + -20x + 6x2 = 0

Solving
20 + -20x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -10x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -10x + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + -10x + 3x2 = 0

Solving
10 + -10x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -3.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -3.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -3.333333333
-3.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-3.333333333x + x2 = -3.333333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -3.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -3.333333333 + 2.777777779

Combine like terms: -3.333333333 + 2.777777779 = -0.555555554
2.777777779 + -3.333333333x + x2 = -0.555555554

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -0.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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