32r^2+8r+2=0

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Solution for 32r^2+8r+2=0 equation: 


Simplifying
32r2 + 8r + 2 = 0

Reorder the terms:
2 + 8r + 32r2 = 0

Solving
2 + 8r + 32r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 4r + 16r2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 4r + 16r2)' equal to zero and attempt to solve:

Simplifying
1 + 4r + 16r2 = 0

Solving
1 + 4r + 16r2 = 0

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

Divide each side by '16'.
0.0625 + 0.25r + r2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + 0.25r + -0.0625 + r2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + 0.25r + r2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + 0.25r + r2 = 0 + -0.0625
0.25r + r2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
0.25r + r2 = -0.0625

The r term is 0.25r.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25r + 0.015625 + r2 = -0.0625 + 0.015625

Reorder the terms:
0.015625 + 0.25r + r2 = -0.0625 + 0.015625

Combine like terms: -0.0625 + 0.015625 = -0.046875
0.015625 + 0.25r + r2 = -0.046875

Factor a perfect square on the left side:
(r + 0.125)(r + 0.125) = -0.046875

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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