16x^2+56x+130=0

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Solution for 16x^2+56x+130=0 equation: 


Simplifying
16x2 + 56x + 130 = 0

Reorder the terms:
130 + 56x + 16x2 = 0

Solving
130 + 56x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(65 + 28x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(65 + 28x + 8x2)' equal to zero and attempt to solve:

Simplifying
65 + 28x + 8x2 = 0

Solving
65 + 28x + 8x2 = 0

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

Divide each side by '8'.
8.125 + 3.5x + x2 = 0

Move the constant term to the right:

Add '-8.125' to each side of the equation.
8.125 + 3.5x + -8.125 + x2 = 0 + -8.125

Reorder the terms:
8.125 + -8.125 + 3.5x + x2 = 0 + -8.125

Combine like terms: 8.125 + -8.125 = 0.000
0.000 + 3.5x + x2 = 0 + -8.125
3.5x + x2 = 0 + -8.125

Combine like terms: 0 + -8.125 = -8.125
3.5x + x2 = -8.125

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = -8.125 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = -8.125 + 3.0625

Combine like terms: -8.125 + 3.0625 = -5.0625
3.0625 + 3.5x + x2 = -5.0625

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = -5.0625

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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