36x^2-4x+13=0

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Solution for 36x^2-4x+13=0 equation:


Simplifying
36x2 + -4x + 13 = 0

Reorder the terms:
13 + -4x + 36x2 = 0

Solving
13 + -4x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
0.3611111111 + -0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-0.3611111111' to each side of the equation.
0.3611111111 + -0.1111111111x + -0.3611111111 + x2 = 0 + -0.3611111111

Reorder the terms:
0.3611111111 + -0.3611111111 + -0.1111111111x + x2 = 0 + -0.3611111111

Combine like terms: 0.3611111111 + -0.3611111111 = 0.0000000000
0.0000000000 + -0.1111111111x + x2 = 0 + -0.3611111111
-0.1111111111x + x2 = 0 + -0.3611111111

Combine like terms: 0 + -0.3611111111 = -0.3611111111
-0.1111111111x + x2 = -0.3611111111

The x term is -0.1111111111x.  Take half its coefficient (-0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
-0.1111111111x + 0.003086419752 + x2 = -0.3611111111 + 0.003086419752

Reorder the terms:
0.003086419752 + -0.1111111111x + x2 = -0.3611111111 + 0.003086419752

Combine like terms: -0.3611111111 + 0.003086419752 = -0.358024691348
0.003086419752 + -0.1111111111x + x2 = -0.358024691348

Factor a perfect square on the left side:
(x + -0.05555555555)(x + -0.05555555555) = -0.358024691348

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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