16y^2+6y+10=0

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Solution for 16y^2+6y+10=0 equation: 


Simplifying
16y2 + 6y + 10 = 0

Reorder the terms:
10 + 6y + 16y2 = 0

Solving
10 + 6y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 3y + 8y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 3y + 8y2)' equal to zero and attempt to solve:

Simplifying
5 + 3y + 8y2 = 0

Solving
5 + 3y + 8y2 = 0

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

Divide each side by '8'.
0.625 + 0.375y + y2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.375y + -0.625 + y2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.375y + y2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.375y + y2 = 0 + -0.625
0.375y + y2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.375y + y2 = -0.625

The y term is 0.375y.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375y + 0.03515625 + y2 = -0.625 + 0.03515625

Reorder the terms:
0.03515625 + 0.375y + y2 = -0.625 + 0.03515625

Combine like terms: -0.625 + 0.03515625 = -0.58984375
0.03515625 + 0.375y + y2 = -0.58984375

Factor a perfect square on the left side:
(y + 0.1875)(y + 0.1875) = -0.58984375

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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