16x^2+12x+310=0

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Solution for 16x^2+12x+310=0 equation: 


Simplifying
16x2 + 12x + 310 = 0

Reorder the terms:
310 + 12x + 16x2 = 0

Solving
310 + 12x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(155 + 6x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(155 + 6x + 8x2)' equal to zero and attempt to solve:

Simplifying
155 + 6x + 8x2 = 0

Solving
155 + 6x + 8x2 = 0

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

Divide each side by '8'.
19.375 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-19.375' to each side of the equation.
19.375 + 0.75x + -19.375 + x2 = 0 + -19.375

Reorder the terms:
19.375 + -19.375 + 0.75x + x2 = 0 + -19.375

Combine like terms: 19.375 + -19.375 = 0.000
0.000 + 0.75x + x2 = 0 + -19.375
0.75x + x2 = 0 + -19.375

Combine like terms: 0 + -19.375 = -19.375
0.75x + x2 = -19.375

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -19.375 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -19.375 + 0.140625

Combine like terms: -19.375 + 0.140625 = -19.234375
0.140625 + 0.75x + x2 = -19.234375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -19.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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