16r^2+8r+10=0

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Solution for 16r^2+8r+10=0 equation: 


Simplifying
16r2 + 8r + 10 = 0

Reorder the terms:
10 + 8r + 16r2 = 0

Solving
10 + 8r + 16r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 4r + 8r2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 4r + 8r2)' equal to zero and attempt to solve:

Simplifying
5 + 4r + 8r2 = 0

Solving
5 + 4r + 8r2 = 0

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

Divide each side by '8'.
0.625 + 0.5r + r2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.5r + -0.625 + r2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.5r + r2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.5r + r2 = 0 + -0.625
0.5r + r2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.5r + r2 = -0.625

The r term is 0.5r.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5r + 0.0625 + r2 = -0.625 + 0.0625

Reorder the terms:
0.0625 + 0.5r + r2 = -0.625 + 0.0625

Combine like terms: -0.625 + 0.0625 = -0.5625
0.0625 + 0.5r + r2 = -0.5625

Factor a perfect square on the left side:
(r + 0.25)(r + 0.25) = -0.5625

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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