30x^2-49x+29=0

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Solution for 30x^2-49x+29=0 equation:


Simplifying
30x2 + -49x + 29 = 0

Reorder the terms:
29 + -49x + 30x2 = 0

Solving
29 + -49x + 30x2 = 0

Solving for variable 'x'.

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

Divide each side by '30'.
0.9666666667 + -1.633333333x + x2 = 0

Move the constant term to the right:

Add '-0.9666666667' to each side of the equation.
0.9666666667 + -1.633333333x + -0.9666666667 + x2 = 0 + -0.9666666667

Reorder the terms:
0.9666666667 + -0.9666666667 + -1.633333333x + x2 = 0 + -0.9666666667

Combine like terms: 0.9666666667 + -0.9666666667 = 0.0000000000
0.0000000000 + -1.633333333x + x2 = 0 + -0.9666666667
-1.633333333x + x2 = 0 + -0.9666666667

Combine like terms: 0 + -0.9666666667 = -0.9666666667
-1.633333333x + x2 = -0.9666666667

The x term is -1.633333333x.  Take half its coefficient (-0.8166666665).
Square it (0.6669444442) and add it to both sides.

Add '0.6669444442' to each side of the equation.
-1.633333333x + 0.6669444442 + x2 = -0.9666666667 + 0.6669444442

Reorder the terms:
0.6669444442 + -1.633333333x + x2 = -0.9666666667 + 0.6669444442

Combine like terms: -0.9666666667 + 0.6669444442 = -0.2997222225
0.6669444442 + -1.633333333x + x2 = -0.2997222225

Factor a perfect square on the left side:
(x + -0.8166666665)(x + -0.8166666665) = -0.2997222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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