-6x^2-9x-5=0

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Solution for -6x^2-9x-5=0 equation: 


Simplifying
-6x2 + -9x + -5 = 0

Reorder the terms:
-5 + -9x + -6x2 = 0

Solving
-5 + -9x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 9x + 6x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 9x + 6x2)' equal to zero and attempt to solve:

Simplifying
5 + 9x + 6x2 = 0

Solving
5 + 9x + 6x2 = 0

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

Divide each side by '6'.
0.8333333333 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 1.5x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 1.5x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 1.5x + x2 = 0 + -0.8333333333
1.5x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
1.5x + x2 = -0.8333333333

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -0.8333333333 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -0.8333333333 + 0.5625

Combine like terms: -0.8333333333 + 0.5625 = -0.2708333333
0.5625 + 1.5x + x2 = -0.2708333333

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -0.2708333333

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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