9X^2-7X+19=0

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Solution for 9X^2-7X+19=0 equation:


Simplifying
9X2 + -7X + 19 = 0

Reorder the terms:
19 + -7X + 9X2 = 0

Solving
19 + -7X + 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'.
2.111111111 + -0.7777777778X + X2 = 0

Move the constant term to the right:

Add '-2.111111111' to each side of the equation.
2.111111111 + -0.7777777778X + -2.111111111 + X2 = 0 + -2.111111111

Reorder the terms:
2.111111111 + -2.111111111 + -0.7777777778X + X2 = 0 + -2.111111111

Combine like terms: 2.111111111 + -2.111111111 = 0.000000000
0.000000000 + -0.7777777778X + X2 = 0 + -2.111111111
-0.7777777778X + X2 = 0 + -2.111111111

Combine like terms: 0 + -2.111111111 = -2.111111111
-0.7777777778X + X2 = -2.111111111

The X term is -0.7777777778X.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778X + 0.1512345679 + X2 = -2.111111111 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778X + X2 = -2.111111111 + 0.1512345679

Combine like terms: -2.111111111 + 0.1512345679 = -1.9598765431
0.1512345679 + -0.7777777778X + X2 = -1.9598765431

Factor a perfect square on the left side:
(X + -0.3888888889)(X + -0.3888888889) = -1.9598765431

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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