16n^2-14n+14=0

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Solution for 16n^2-14n+14=0 equation: 


Simplifying
16n2 + -14n + 14 = 0

Reorder the terms:
14 + -14n + 16n2 = 0

Solving
14 + -14n + 16n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -7n + 8n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -7n + 8n2)' equal to zero and attempt to solve:

Simplifying
7 + -7n + 8n2 = 0

Solving
7 + -7n + 8n2 = 0

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

Divide each side by '8'.
0.875 + -0.875n + n2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -0.875n + -0.875 + n2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -0.875n + n2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -0.875n + n2 = 0 + -0.875
-0.875n + n2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-0.875n + n2 = -0.875

The n term is -0.875n.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875n + 0.19140625 + n2 = -0.875 + 0.19140625

Reorder the terms:
0.19140625 + -0.875n + n2 = -0.875 + 0.19140625

Combine like terms: -0.875 + 0.19140625 = -0.68359375
0.19140625 + -0.875n + n2 = -0.68359375

Factor a perfect square on the left side:
(n + -0.4375)(n + -0.4375) = -0.68359375

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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