19u^2-14u+3=0

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Solution for 19u^2-14u+3=0 equation:


Simplifying
19u2 + -14u + 3 = 0

Reorder the terms:
3 + -14u + 19u2 = 0

Solving
3 + -14u + 19u2 = 0

Solving for variable 'u'.

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

Divide each side by '19'.
0.1578947368 + -0.7368421053u + u2 = 0

Move the constant term to the right:

Add '-0.1578947368' to each side of the equation.
0.1578947368 + -0.7368421053u + -0.1578947368 + u2 = 0 + -0.1578947368

Reorder the terms:
0.1578947368 + -0.1578947368 + -0.7368421053u + u2 = 0 + -0.1578947368

Combine like terms: 0.1578947368 + -0.1578947368 = 0.0000000000
0.0000000000 + -0.7368421053u + u2 = 0 + -0.1578947368
-0.7368421053u + u2 = 0 + -0.1578947368

Combine like terms: 0 + -0.1578947368 = -0.1578947368
-0.7368421053u + u2 = -0.1578947368

The u term is -0.7368421053u.  Take half its coefficient (-0.3684210527).
Square it (0.1357340721) and add it to both sides.

Add '0.1357340721' to each side of the equation.
-0.7368421053u + 0.1357340721 + u2 = -0.1578947368 + 0.1357340721

Reorder the terms:
0.1357340721 + -0.7368421053u + u2 = -0.1578947368 + 0.1357340721

Combine like terms: -0.1578947368 + 0.1357340721 = -0.0221606647
0.1357340721 + -0.7368421053u + u2 = -0.0221606647

Factor a perfect square on the left side:
(u + -0.3684210527)(u + -0.3684210527) = -0.0221606647

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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