9x^2-36x+52=0

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Solution for 9x^2-36x+52=0 equation:


Simplifying
9x2 + -36x + 52 = 0

Reorder the terms:
52 + -36x + 9x2 = 0

Solving
52 + -36x + 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'.
5.777777778 + -4x + x2 = 0

Move the constant term to the right:

Add '-5.777777778' to each side of the equation.
5.777777778 + -4x + -5.777777778 + x2 = 0 + -5.777777778

Reorder the terms:
5.777777778 + -5.777777778 + -4x + x2 = 0 + -5.777777778

Combine like terms: 5.777777778 + -5.777777778 = 0.000000000
0.000000000 + -4x + x2 = 0 + -5.777777778
-4x + x2 = 0 + -5.777777778

Combine like terms: 0 + -5.777777778 = -5.777777778
-4x + x2 = -5.777777778

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -5.777777778 + 4

Reorder the terms:
4 + -4x + x2 = -5.777777778 + 4

Combine like terms: -5.777777778 + 4 = -1.777777778
4 + -4x + x2 = -1.777777778

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1.777777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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