16x^2+3x+10=0

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Solution for 16x^2+3x+10=0 equation:


Simplifying
16x2 + 3x + 10 = 0

Reorder the terms:
10 + 3x + 16x2 = 0

Solving
10 + 3x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
0.625 + 0.1875x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.1875x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.1875x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.1875x + x2 = 0 + -0.625
0.1875x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.1875x + x2 = -0.625

The x term is 0.1875x.  Take half its coefficient (0.09375).
Square it (0.0087890625) and add it to both sides.

Add '0.0087890625' to each side of the equation.
0.1875x + 0.0087890625 + x2 = -0.625 + 0.0087890625

Reorder the terms:
0.0087890625 + 0.1875x + x2 = -0.625 + 0.0087890625

Combine like terms: -0.625 + 0.0087890625 = -0.6162109375
0.0087890625 + 0.1875x + x2 = -0.6162109375

Factor a perfect square on the left side:
(x + 0.09375)(x + 0.09375) = -0.6162109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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