437x^2+103x+11=0

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Solution for 437x^2+103x+11=0 equation:


Simplifying
437x2 + 103x + 11 = 0

Reorder the terms:
11 + 103x + 437x2 = 0

Solving
11 + 103x + 437x2 = 0

Solving for variable 'x'.

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

Divide each side by '437'.
0.02517162471 + 0.2356979405x + x2 = 0

Move the constant term to the right:

Add '-0.02517162471' to each side of the equation.
0.02517162471 + 0.2356979405x + -0.02517162471 + x2 = 0 + -0.02517162471

Reorder the terms:
0.02517162471 + -0.02517162471 + 0.2356979405x + x2 = 0 + -0.02517162471

Combine like terms: 0.02517162471 + -0.02517162471 = 0.00000000000
0.00000000000 + 0.2356979405x + x2 = 0 + -0.02517162471
0.2356979405x + x2 = 0 + -0.02517162471

Combine like terms: 0 + -0.02517162471 = -0.02517162471
0.2356979405x + x2 = -0.02517162471

The x term is 0.2356979405x.  Take half its coefficient (0.1178489703).
Square it (0.01388837980) and add it to both sides.

Add '0.01388837980' to each side of the equation.
0.2356979405x + 0.01388837980 + x2 = -0.02517162471 + 0.01388837980

Reorder the terms:
0.01388837980 + 0.2356979405x + x2 = -0.02517162471 + 0.01388837980

Combine like terms: -0.02517162471 + 0.01388837980 = -0.01128324491
0.01388837980 + 0.2356979405x + x2 = -0.01128324491

Factor a perfect square on the left side:
(x + 0.1178489703)(x + 0.1178489703) = -0.01128324491

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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