(16x^2)-6x+16=0

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Solution for (16x^2)-6x+16=0 equation: 


Simplifying
(16x2) + -6x + 16 = 0

Reorder the terms:
16 + -6x + (16x2) = 0

Solving
16 + -6x + (16x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -3x + (8x2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -3x + (8x2))' equal to zero and attempt to solve:

Simplifying
8 + -3x + (8x2) = 0

Solving
8 + -3x + (8x2) = 0

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

Divide each side by '8'.
1 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.375x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.375x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.375x + x2 = 0 + -1
-0.375x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.375x + x2 = -1

The x term is -0.375x.  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.
-0.375x + 0.03515625 + x2 = -1 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -1 + 0.03515625

Combine like terms: -1 + 0.03515625 = -0.96484375
0.03515625 + -0.375x + x2 = -0.96484375

Factor a perfect square on the left side:
((x) + -0.1875)((x) + -0.1875) = -0.96484375

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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