-2x^2-3x-9=0

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Solution for -2x^2-3x-9=0 equation: 


Simplifying
-2x2 + -3x + -9 = 0

Reorder the terms:
-9 + -3x + -2x2 = 0

Solving
-9 + -3x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 3x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 3x + 2x2)' equal to zero and attempt to solve:

Simplifying
9 + 3x + 2x2 = 0

Solving
9 + 3x + 2x2 = 0

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

Divide each side by '2'.
4.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 1.5x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 1.5x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 1.5x + x2 = 0 + -4.5
1.5x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
1.5x + x2 = -4.5

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 = -4.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -4.5 + 0.5625

Combine like terms: -4.5 + 0.5625 = -3.9375
0.5625 + 1.5x + x2 = -3.9375

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -3.9375

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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