16x^2+6x+66=0

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Solution for 16x^2+6x+66=0 equation: 


Simplifying
16x2 + 6x + 66 = 0

Reorder the terms:
66 + 6x + 16x2 = 0

Solving
66 + 6x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + 3x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(33 + 3x + 8x2)' equal to zero and attempt to solve:

Simplifying
33 + 3x + 8x2 = 0

Solving
33 + 3x + 8x2 = 0

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

Divide each side by '8'.
4.125 + 0.375x + x2 = 0

Move the constant term to the right:

Add '-4.125' to each side of the equation.
4.125 + 0.375x + -4.125 + x2 = 0 + -4.125

Reorder the terms:
4.125 + -4.125 + 0.375x + x2 = 0 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + 0.375x + x2 = 0 + -4.125
0.375x + x2 = 0 + -4.125

Combine like terms: 0 + -4.125 = -4.125
0.375x + x2 = -4.125

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 = -4.125 + 0.03515625

Reorder the terms:
0.03515625 + 0.375x + x2 = -4.125 + 0.03515625

Combine like terms: -4.125 + 0.03515625 = -4.08984375
0.03515625 + 0.375x + x2 = -4.08984375

Factor a perfect square on the left side:
(x + 0.1875)(x + 0.1875) = -4.08984375

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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