9x^2-37x+58=0

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Solution for 9x^2-37x+58=0 equation:


Simplifying
9x2 + -37x + 58 = 0

Reorder the terms:
58 + -37x + 9x2 = 0

Solving
58 + -37x + 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'.
6.444444444 + -4.111111111x + x2 = 0

Move the constant term to the right:

Add '-6.444444444' to each side of the equation.
6.444444444 + -4.111111111x + -6.444444444 + x2 = 0 + -6.444444444

Reorder the terms:
6.444444444 + -6.444444444 + -4.111111111x + x2 = 0 + -6.444444444

Combine like terms: 6.444444444 + -6.444444444 = 0.000000000
0.000000000 + -4.111111111x + x2 = 0 + -6.444444444
-4.111111111x + x2 = 0 + -6.444444444

Combine like terms: 0 + -6.444444444 = -6.444444444
-4.111111111x + x2 = -6.444444444

The x term is -4.111111111x.  Take half its coefficient (-2.055555556).
Square it (4.225308644) and add it to both sides.

Add '4.225308644' to each side of the equation.
-4.111111111x + 4.225308644 + x2 = -6.444444444 + 4.225308644

Reorder the terms:
4.225308644 + -4.111111111x + x2 = -6.444444444 + 4.225308644

Combine like terms: -6.444444444 + 4.225308644 = -2.2191358
4.225308644 + -4.111111111x + x2 = -2.2191358

Factor a perfect square on the left side:
(x + -2.055555556)(x + -2.055555556) = -2.2191358

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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