-5x^2-12x-9=0

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Solution for -5x^2-12x-9=0 equation: 


Simplifying
-5x2 + -12x + -9 = 0

Reorder the terms:
-9 + -12x + -5x2 = 0

Solving
-9 + -12x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 12x + 5x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 12x + 5x2)' equal to zero and attempt to solve:

Simplifying
9 + 12x + 5x2 = 0

Solving
9 + 12x + 5x2 = 0

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

Divide each side by '5'.
1.8 + 2.4x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + 2.4x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + 2.4x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 2.4x + x2 = 0 + -1.8
2.4x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
2.4x + x2 = -1.8

The x term is 2.4x.  Take half its coefficient (1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
2.4x + 1.44 + x2 = -1.8 + 1.44

Reorder the terms:
1.44 + 2.4x + x2 = -1.8 + 1.44

Combine like terms: -1.8 + 1.44 = -0.36
1.44 + 2.4x + x2 = -0.36

Factor a perfect square on the left side:
(x + 1.2)(x + 1.2) = -0.36

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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