36x^2-12x+2=0

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Solution for 36x^2-12x+2=0 equation: 


Simplifying
36x2 + -12x + 2 = 0

Reorder the terms:
2 + -12x + 36x2 = 0

Solving
2 + -12x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -6x + 18x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -6x + 18x2)' equal to zero and attempt to solve:

Simplifying
1 + -6x + 18x2 = 0

Solving
1 + -6x + 18x2 = 0

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

Divide each side by '18'.
0.05555555556 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.05555555556' to each side of the equation.
0.05555555556 + -0.3333333333x + -0.05555555556 + x2 = 0 + -0.05555555556

Reorder the terms:
0.05555555556 + -0.05555555556 + -0.3333333333x + x2 = 0 + -0.05555555556

Combine like terms: 0.05555555556 + -0.05555555556 = 0.00000000000
0.00000000000 + -0.3333333333x + x2 = 0 + -0.05555555556
-0.3333333333x + x2 = 0 + -0.05555555556

Combine like terms: 0 + -0.05555555556 = -0.05555555556
-0.3333333333x + x2 = -0.05555555556

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.05555555556 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.05555555556 + 0.02777777779

Combine like terms: -0.05555555556 + 0.02777777779 = -0.02777777777
0.02777777779 + -0.3333333333x + x2 = -0.02777777777

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.02777777777

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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