50x^2+38x+27=0

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Solution for 50x^2+38x+27=0 equation:


Simplifying
50x2 + 38x + 27 = 0

Reorder the terms:
27 + 38x + 50x2 = 0

Solving
27 + 38x + 50x2 = 0

Solving for variable 'x'.

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

Divide each side by '50'.
0.54 + 0.76x + x2 = 0

Move the constant term to the right:

Add '-0.54' to each side of the equation.
0.54 + 0.76x + -0.54 + x2 = 0 + -0.54

Reorder the terms:
0.54 + -0.54 + 0.76x + x2 = 0 + -0.54

Combine like terms: 0.54 + -0.54 = 0.00
0.00 + 0.76x + x2 = 0 + -0.54
0.76x + x2 = 0 + -0.54

Combine like terms: 0 + -0.54 = -0.54
0.76x + x2 = -0.54

The x term is 0.76x.  Take half its coefficient (0.38).
Square it (0.1444) and add it to both sides.

Add '0.1444' to each side of the equation.
0.76x + 0.1444 + x2 = -0.54 + 0.1444

Reorder the terms:
0.1444 + 0.76x + x2 = -0.54 + 0.1444

Combine like terms: -0.54 + 0.1444 = -0.3956
0.1444 + 0.76x + x2 = -0.3956

Factor a perfect square on the left side:
(x + 0.38)(x + 0.38) = -0.3956

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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