26n^2+16n+4=0

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Solution for 26n^2+16n+4=0 equation: 


Simplifying
26n2 + 16n + 4 = 0

Reorder the terms:
4 + 16n + 26n2 = 0

Solving
4 + 16n + 26n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 8n + 13n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 8n + 13n2)' equal to zero and attempt to solve:

Simplifying
2 + 8n + 13n2 = 0

Solving
2 + 8n + 13n2 = 0

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

Divide each side by '13'.
0.1538461538 + 0.6153846154n + n2 = 0

Move the constant term to the right:

Add '-0.1538461538' to each side of the equation.
0.1538461538 + 0.6153846154n + -0.1538461538 + n2 = 0 + -0.1538461538

Reorder the terms:
0.1538461538 + -0.1538461538 + 0.6153846154n + n2 = 0 + -0.1538461538

Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000
0.0000000000 + 0.6153846154n + n2 = 0 + -0.1538461538
0.6153846154n + n2 = 0 + -0.1538461538

Combine like terms: 0 + -0.1538461538 = -0.1538461538
0.6153846154n + n2 = -0.1538461538

The n term is 0.6153846154n.  Take half its coefficient (0.3076923077).
Square it (0.09467455622) and add it to both sides.

Add '0.09467455622' to each side of the equation.
0.6153846154n + 0.09467455622 + n2 = -0.1538461538 + 0.09467455622

Reorder the terms:
0.09467455622 + 0.6153846154n + n2 = -0.1538461538 + 0.09467455622

Combine like terms: -0.1538461538 + 0.09467455622 = -0.05917159758
0.09467455622 + 0.6153846154n + n2 = -0.05917159758

Factor a perfect square on the left side:
(n + 0.3076923077)(n + 0.3076923077) = -0.05917159758

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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