36x^2-5x+9=0

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Solution for 36x^2-5x+9=0 equation:


Simplifying
36x2 + -5x + 9 = 0

Reorder the terms:
9 + -5x + 36x2 = 0

Solving
9 + -5x + 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'.
0.25 + -0.1388888889x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.1388888889x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.1388888889x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.1388888889x + x2 = 0 + -0.25
-0.1388888889x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.1388888889x + x2 = -0.25

The x term is -0.1388888889x.  Take half its coefficient (-0.06944444445).
Square it (0.004822530865) and add it to both sides.

Add '0.004822530865' to each side of the equation.
-0.1388888889x + 0.004822530865 + x2 = -0.25 + 0.004822530865

Reorder the terms:
0.004822530865 + -0.1388888889x + x2 = -0.25 + 0.004822530865

Combine like terms: -0.25 + 0.004822530865 = -0.245177469135
0.004822530865 + -0.1388888889x + x2 = -0.245177469135

Factor a perfect square on the left side:
(x + -0.06944444445)(x + -0.06944444445) = -0.245177469135

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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