28x^2+5x+10=0

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Solution for 28x^2+5x+10=0 equation: 


Simplifying
28x2 + 5x + 10 = 0

Reorder the terms:
10 + 5x + 28x2 = 0

Solving
10 + 5x + 28x2 = 0

Solving for variable 'x'.

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

Divide each side by '28'.
0.3571428571 + 0.1785714286x + x2 = 0

Move the constant term to the right:

Add '-0.3571428571' to each side of the equation.
0.3571428571 + 0.1785714286x + -0.3571428571 + x2 = 0 + -0.3571428571

Reorder the terms:
0.3571428571 + -0.3571428571 + 0.1785714286x + x2 = 0 + -0.3571428571

Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000
0.0000000000 + 0.1785714286x + x2 = 0 + -0.3571428571
0.1785714286x + x2 = 0 + -0.3571428571

Combine like terms: 0 + -0.3571428571 = -0.3571428571
0.1785714286x + x2 = -0.3571428571

The x term is 0.1785714286x.  Take half its coefficient (0.0892857143).
Square it (0.007971938778) and add it to both sides.

Add '0.007971938778' to each side of the equation.
0.1785714286x + 0.007971938778 + x2 = -0.3571428571 + 0.007971938778

Reorder the terms:
0.007971938778 + 0.1785714286x + x2 = -0.3571428571 + 0.007971938778

Combine like terms: -0.3571428571 + 0.007971938778 = -0.349170918322
0.007971938778 + 0.1785714286x + x2 = -0.349170918322

Factor a perfect square on the left side:
(x + 0.0892857143)(x + 0.0892857143) = -0.349170918322

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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