36x^2-61x+36=0

Solution for 36x^2-61x+36=0 equation:

Simplifying
36x2 + -61x + 36 = 0

Reorder the terms:
36 + -61x + 36x2 = 0

Solving
36 + -61x + 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'.
1 + -1.694444444x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.694444444x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.694444444x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.694444444x + x2 = 0 + -1
-1.694444444x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.694444444x + x2 = -1

The x term is -1.694444444x.  Take half its coefficient (-0.847222222).
Square it (0.7177854935) and add it to both sides.

Add '0.7177854935' to each side of the equation.
-1.694444444x + 0.7177854935 + x2 = -1 + 0.7177854935

Reorder the terms:
0.7177854935 + -1.694444444x + x2 = -1 + 0.7177854935

Combine like terms: -1 + 0.7177854935 = -0.2822145065
0.7177854935 + -1.694444444x + x2 = -0.2822145065

Factor a perfect square on the left side:
(x + -0.847222222)(x + -0.847222222) = -0.2822145065

Can't calculate square root of the right side.

The solution to this equation could not be determined.