12x^2+128x+374=0

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Solution for 12x^2+128x+374=0 equation: 


Simplifying
12x2 + 128x + 374 = 0

Reorder the terms:
374 + 128x + 12x2 = 0

Solving
374 + 128x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(187 + 64x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(187 + 64x + 6x2)' equal to zero and attempt to solve:

Simplifying
187 + 64x + 6x2 = 0

Solving
187 + 64x + 6x2 = 0

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

Divide each side by '6'.
31.16666667 + 10.66666667x + x2 = 0

Move the constant term to the right:

Add '-31.16666667' to each side of the equation.
31.16666667 + 10.66666667x + -31.16666667 + x2 = 0 + -31.16666667

Reorder the terms:
31.16666667 + -31.16666667 + 10.66666667x + x2 = 0 + -31.16666667

Combine like terms: 31.16666667 + -31.16666667 = 0.00000000
0.00000000 + 10.66666667x + x2 = 0 + -31.16666667
10.66666667x + x2 = 0 + -31.16666667

Combine like terms: 0 + -31.16666667 = -31.16666667
10.66666667x + x2 = -31.16666667

The x term is 10.66666667x.  Take half its coefficient (5.333333335).
Square it (28.44444446) and add it to both sides.

Add '28.44444446' to each side of the equation.
10.66666667x + 28.44444446 + x2 = -31.16666667 + 28.44444446

Reorder the terms:
28.44444446 + 10.66666667x + x2 = -31.16666667 + 28.44444446

Combine like terms: -31.16666667 + 28.44444446 = -2.72222221
28.44444446 + 10.66666667x + x2 = -2.72222221

Factor a perfect square on the left side:
(x + 5.333333335)(x + 5.333333335) = -2.72222221

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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