9x^2+29=12x

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Solution for 9x^2+29=12x equation: 


Simplifying
9x2 + 29 = 12x

Reorder the terms:
29 + 9x2 = 12x

Solving
29 + 9x2 = 12x

Solving for variable 'x'.

Reorder the terms:
29 + -12x + 9x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
29 + -12x + 9x2 = 0

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

Divide each side by '9'.
3.222222222 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.222222222' to each side of the equation.
3.222222222 + -1.333333333x + -3.222222222 + x2 = 0 + -3.222222222

Reorder the terms:
3.222222222 + -3.222222222 + -1.333333333x + x2 = 0 + -3.222222222

Combine like terms: 3.222222222 + -3.222222222 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -3.222222222
-1.333333333x + x2 = 0 + -3.222222222

Combine like terms: 0 + -3.222222222 = -3.222222222
-1.333333333x + x2 = -3.222222222

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -3.222222222 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -3.222222222 + 0.4444444442

Combine like terms: -3.222222222 + 0.4444444442 = -2.7777777778
0.4444444442 + -1.333333333x + x2 = -2.7777777778

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -2.7777777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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