9x^2-30x+36=0

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Solution for 9x^2-30x+36=0 equation: 


Simplifying
9x2 + -30x + 36 = 0

Reorder the terms:
36 + -30x + 9x2 = 0

Solving
36 + -30x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -10x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(12 + -10x + 3x2)' equal to zero and attempt to solve:

Simplifying
12 + -10x + 3x2 = 0

Solving
12 + -10x + 3x2 = 0

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

Divide each side by '3'.
4 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3.333333333x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -3.333333333x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3.333333333x + x2 = 0 + -4
-3.333333333x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3.333333333x + x2 = -4

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -4 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -4 + 2.777777779

Combine like terms: -4 + 2.777777779 = -1.222222221
2.777777779 + -3.333333333x + x2 = -1.222222221

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -1.222222221

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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