16x^2+2x+124=0

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Solution for 16x^2+2x+124=0 equation: 


Simplifying
16x2 + 2x + 124 = 0

Reorder the terms:
124 + 2x + 16x2 = 0

Solving
124 + 2x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(62 + x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(62 + x + 8x2)' equal to zero and attempt to solve:

Simplifying
62 + x + 8x2 = 0

Solving
62 + x + 8x2 = 0

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

Divide each side by '8'.
7.75 + 0.125x + x2 = 0

Move the constant term to the right:

Add '-7.75' to each side of the equation.
7.75 + 0.125x + -7.75 + x2 = 0 + -7.75

Reorder the terms:
7.75 + -7.75 + 0.125x + x2 = 0 + -7.75

Combine like terms: 7.75 + -7.75 = 0.00
0.00 + 0.125x + x2 = 0 + -7.75
0.125x + x2 = 0 + -7.75

Combine like terms: 0 + -7.75 = -7.75
0.125x + x2 = -7.75

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.125x + 0.25 + x2 = -7.75 + 0.25

Reorder the terms:
0.25 + 0.125x + x2 = -7.75 + 0.25

Combine like terms: -7.75 + 0.25 = -7.5
0.25 + 0.125x + x2 = -7.5

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -7.5

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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