44x^2+38x+15=0

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Solution for 44x^2+38x+15=0 equation:


Simplifying
44x2 + 38x + 15 = 0

Reorder the terms:
15 + 38x + 44x2 = 0

Solving
15 + 38x + 44x2 = 0

Solving for variable 'x'.

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

Divide each side by '44'.
0.3409090909 + 0.8636363636x + x2 = 0

Move the constant term to the right:

Add '-0.3409090909' to each side of the equation.
0.3409090909 + 0.8636363636x + -0.3409090909 + x2 = 0 + -0.3409090909

Reorder the terms:
0.3409090909 + -0.3409090909 + 0.8636363636x + x2 = 0 + -0.3409090909

Combine like terms: 0.3409090909 + -0.3409090909 = 0.0000000000
0.0000000000 + 0.8636363636x + x2 = 0 + -0.3409090909
0.8636363636x + x2 = 0 + -0.3409090909

Combine like terms: 0 + -0.3409090909 = -0.3409090909
0.8636363636x + x2 = -0.3409090909

The x term is 0.8636363636x.  Take half its coefficient (0.4318181818).
Square it (0.1864669421) and add it to both sides.

Add '0.1864669421' to each side of the equation.
0.8636363636x + 0.1864669421 + x2 = -0.3409090909 + 0.1864669421

Reorder the terms:
0.1864669421 + 0.8636363636x + x2 = -0.3409090909 + 0.1864669421

Combine like terms: -0.3409090909 + 0.1864669421 = -0.1544421488
0.1864669421 + 0.8636363636x + x2 = -0.1544421488

Factor a perfect square on the left side:
(x + 0.4318181818)(x + 0.4318181818) = -0.1544421488

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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