29x^2+9=30x

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Solution for 29x^2+9=30x equation:


Simplifying
29x2 + 9 = 30x

Reorder the terms:
9 + 29x2 = 30x

Solving
9 + 29x2 = 30x

Solving for variable 'x'.

Reorder the terms:
9 + -30x + 29x2 = 30x + -30x

Combine like terms: 30x + -30x = 0
9 + -30x + 29x2 = 0

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

Divide each side by '29'.
0.3103448276 + -1.034482759x + x2 = 0

Move the constant term to the right:

Add '-0.3103448276' to each side of the equation.
0.3103448276 + -1.034482759x + -0.3103448276 + x2 = 0 + -0.3103448276

Reorder the terms:
0.3103448276 + -0.3103448276 + -1.034482759x + x2 = 0 + -0.3103448276

Combine like terms: 0.3103448276 + -0.3103448276 = 0.0000000000
0.0000000000 + -1.034482759x + x2 = 0 + -0.3103448276
-1.034482759x + x2 = 0 + -0.3103448276

Combine like terms: 0 + -0.3103448276 = -0.3103448276
-1.034482759x + x2 = -0.3103448276

The x term is -1.034482759x.  Take half its coefficient (-0.5172413795).
Square it (0.2675386447) and add it to both sides.

Add '0.2675386447' to each side of the equation.
-1.034482759x + 0.2675386447 + x2 = -0.3103448276 + 0.2675386447

Reorder the terms:
0.2675386447 + -1.034482759x + x2 = -0.3103448276 + 0.2675386447

Combine like terms: -0.3103448276 + 0.2675386447 = -0.0428061829
0.2675386447 + -1.034482759x + x2 = -0.0428061829

Factor a perfect square on the left side:
(x + -0.5172413795)(x + -0.5172413795) = -0.0428061829

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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