6x^2-29x+36=0

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Solution for 6x^2-29x+36=0 equation:


Simplifying
6x2 + -29x + 36 = 0

Reorder the terms:
36 + -29x + 6x2 = 0

Solving
36 + -29x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
6 + -4.833333333x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4.833333333x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4.833333333x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4.833333333x + x2 = 0 + -6
-4.833333333x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4.833333333x + x2 = -6

The x term is -4.833333333x.  Take half its coefficient (-2.416666667).
Square it (5.840277779) and add it to both sides.

Add '5.840277779' to each side of the equation.
-4.833333333x + 5.840277779 + x2 = -6 + 5.840277779

Reorder the terms:
5.840277779 + -4.833333333x + x2 = -6 + 5.840277779

Combine like terms: -6 + 5.840277779 = -0.159722221
5.840277779 + -4.833333333x + x2 = -0.159722221

Factor a perfect square on the left side:
(x + -2.416666667)(x + -2.416666667) = -0.159722221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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