9x^2-13x+36=0

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Solution for 9x^2-13x+36=0 equation:


Simplifying
9x2 + -13x + 36 = 0

Reorder the terms:
36 + -13x + 9x2 = 0

Solving
36 + -13x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
4 + -1.444444444x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1.444444444x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -1.444444444x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1.444444444x + x2 = 0 + -4
-1.444444444x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1.444444444x + x2 = -4

The x term is -1.444444444x.  Take half its coefficient (-0.722222222).
Square it (0.5216049380) and add it to both sides.

Add '0.5216049380' to each side of the equation.
-1.444444444x + 0.5216049380 + x2 = -4 + 0.5216049380

Reorder the terms:
0.5216049380 + -1.444444444x + x2 = -4 + 0.5216049380

Combine like terms: -4 + 0.5216049380 = -3.478395062
0.5216049380 + -1.444444444x + x2 = -3.478395062

Factor a perfect square on the left side:
(x + -0.722222222)(x + -0.722222222) = -3.478395062

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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