19x^2+11x+10=0

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Solution for 19x^2+11x+10=0 equation:


Simplifying
19x2 + 11x + 10 = 0

Reorder the terms:
10 + 11x + 19x2 = 0

Solving
10 + 11x + 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'.
0.5263157895 + 0.5789473684x + x2 = 0

Move the constant term to the right:

Add '-0.5263157895' to each side of the equation.
0.5263157895 + 0.5789473684x + -0.5263157895 + x2 = 0 + -0.5263157895

Reorder the terms:
0.5263157895 + -0.5263157895 + 0.5789473684x + x2 = 0 + -0.5263157895

Combine like terms: 0.5263157895 + -0.5263157895 = 0.0000000000
0.0000000000 + 0.5789473684x + x2 = 0 + -0.5263157895
0.5789473684x + x2 = 0 + -0.5263157895

Combine like terms: 0 + -0.5263157895 = -0.5263157895
0.5789473684x + x2 = -0.5263157895

The x term is 0.5789473684x.  Take half its coefficient (0.2894736842).
Square it (0.08379501384) and add it to both sides.

Add '0.08379501384' to each side of the equation.
0.5789473684x + 0.08379501384 + x2 = -0.5263157895 + 0.08379501384

Reorder the terms:
0.08379501384 + 0.5789473684x + x2 = -0.5263157895 + 0.08379501384

Combine like terms: -0.5263157895 + 0.08379501384 = -0.44252077566
0.08379501384 + 0.5789473684x + x2 = -0.44252077566

Factor a perfect square on the left side:
(x + 0.2894736842)(x + 0.2894736842) = -0.44252077566

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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