36x^2+12x+64=0

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Solution for 36x^2+12x+64=0 equation: 


Simplifying
36x2 + 12x + 64 = 0

Reorder the terms:
64 + 12x + 36x2 = 0

Solving
64 + 12x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + 3x + 9x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(16 + 3x + 9x2)' equal to zero and attempt to solve:

Simplifying
16 + 3x + 9x2 = 0

Solving
16 + 3x + 9x2 = 0

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

Divide each side by '9'.
1.777777778 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.777777778' to each side of the equation.
1.777777778 + 0.3333333333x + -1.777777778 + x2 = 0 + -1.777777778

Reorder the terms:
1.777777778 + -1.777777778 + 0.3333333333x + x2 = 0 + -1.777777778

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
0.000000000 + 0.3333333333x + x2 = 0 + -1.777777778
0.3333333333x + x2 = 0 + -1.777777778

Combine like terms: 0 + -1.777777778 = -1.777777778
0.3333333333x + x2 = -1.777777778

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -1.777777778 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -1.777777778 + 0.02777777779

Combine like terms: -1.777777778 + 0.02777777779 = -1.75000000021
0.02777777779 + 0.3333333333x + x2 = -1.75000000021

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -1.75000000021

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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