-6x^2-18x-29=0

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Solution for -6x^2-18x-29=0 equation: 


Simplifying
-6x2 + -18x + -29 = 0

Reorder the terms:
-29 + -18x + -6x2 = 0

Solving
-29 + -18x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(29 + 18x + 6x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(29 + 18x + 6x2)' equal to zero and attempt to solve:

Simplifying
29 + 18x + 6x2 = 0

Solving
29 + 18x + 6x2 = 0

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

Divide each side by '6'.
4.833333333 + 3x + x2 = 0

Move the constant term to the right:

Add '-4.833333333' to each side of the equation.
4.833333333 + 3x + -4.833333333 + x2 = 0 + -4.833333333

Reorder the terms:
4.833333333 + -4.833333333 + 3x + x2 = 0 + -4.833333333

Combine like terms: 4.833333333 + -4.833333333 = 0.000000000
0.000000000 + 3x + x2 = 0 + -4.833333333
3x + x2 = 0 + -4.833333333

Combine like terms: 0 + -4.833333333 = -4.833333333
3x + x2 = -4.833333333

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -4.833333333 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -4.833333333 + 2.25

Combine like terms: -4.833333333 + 2.25 = -2.583333333
2.25 + 3x + x2 = -2.583333333

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -2.583333333

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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