19x^2-2x+7=0

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


Simplifying
19x2 + -2x + 7 = 0

Reorder the terms:
7 + -2x + 19x2 = 0

Solving
7 + -2x + 19x2 = 0

Solving for variable 'x'.

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

Divide each side by '19'.
0.3684210526 + -0.1052631579x + x2 = 0

Move the constant term to the right:

Add '-0.3684210526' to each side of the equation.
0.3684210526 + -0.1052631579x + -0.3684210526 + x2 = 0 + -0.3684210526

Reorder the terms:
0.3684210526 + -0.3684210526 + -0.1052631579x + x2 = 0 + -0.3684210526

Combine like terms: 0.3684210526 + -0.3684210526 = 0.0000000000
0.0000000000 + -0.1052631579x + x2 = 0 + -0.3684210526
-0.1052631579x + x2 = 0 + -0.3684210526

Combine like terms: 0 + -0.3684210526 = -0.3684210526
-0.1052631579x + x2 = -0.3684210526

The x term is -0.1052631579x.  Take half its coefficient (-0.05263157895).
Square it (0.002770083103) and add it to both sides.

Add '0.002770083103' to each side of the equation.
-0.1052631579x + 0.002770083103 + x2 = -0.3684210526 + 0.002770083103

Reorder the terms:
0.002770083103 + -0.1052631579x + x2 = -0.3684210526 + 0.002770083103

Combine like terms: -0.3684210526 + 0.002770083103 = -0.365650969497
0.002770083103 + -0.1052631579x + x2 = -0.365650969497

Factor a perfect square on the left side:
(x + -0.05263157895)(x + -0.05263157895) = -0.365650969497

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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