9x^2-113x+370=0

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Solution for 9x^2-113x+370=0 equation:


Simplifying
9x2 + -113x + 370 = 0

Reorder the terms:
370 + -113x + 9x2 = 0

Solving
370 + -113x + 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'.
41.11111111 + -12.55555556x + x2 = 0

Move the constant term to the right:

Add '-41.11111111' to each side of the equation.
41.11111111 + -12.55555556x + -41.11111111 + x2 = 0 + -41.11111111

Reorder the terms:
41.11111111 + -41.11111111 + -12.55555556x + x2 = 0 + -41.11111111

Combine like terms: 41.11111111 + -41.11111111 = 0.00000000
0.00000000 + -12.55555556x + x2 = 0 + -41.11111111
-12.55555556x + x2 = 0 + -41.11111111

Combine like terms: 0 + -41.11111111 = -41.11111111
-12.55555556x + x2 = -41.11111111

The x term is -12.55555556x.  Take half its coefficient (-6.27777778).
Square it (39.41049386) and add it to both sides.

Add '39.41049386' to each side of the equation.
-12.55555556x + 39.41049386 + x2 = -41.11111111 + 39.41049386

Reorder the terms:
39.41049386 + -12.55555556x + x2 = -41.11111111 + 39.41049386

Combine like terms: -41.11111111 + 39.41049386 = -1.70061725
39.41049386 + -12.55555556x + x2 = -1.70061725

Factor a perfect square on the left side:
(x + -6.27777778)(x + -6.27777778) = -1.70061725

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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