-36x^2+6x-16=0

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Solution for -36x^2+6x-16=0 equation: 


Simplifying
-36x2 + 6x + -16 = 0

Reorder the terms:
-16 + 6x + -36x2 = 0

Solving
-16 + 6x + -36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 3x + -18x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + 3x + -18x2)' equal to zero and attempt to solve:

Simplifying
-8 + 3x + -18x2 = 0

Solving
-8 + 3x + -18x2 = 0

Begin completing the square.  Divide all terms by
-18 the coefficient of the squared term: 

Divide each side by '-18'.
0.4444444444 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.1666666667x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.1666666667x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.1666666667x + x2 = 0 + -0.4444444444
-0.1666666667x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.1666666667x + x2 = -0.4444444444

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -0.4444444444 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.4444444444 + 0.006944444447

Combine like terms: -0.4444444444 + 0.006944444447 = -0.437499999953
0.006944444447 + -0.1666666667x + x2 = -0.437499999953

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.437499999953

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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