-8x^2-6x-9=0

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Solution for -8x^2-6x-9=0 equation: 


Simplifying
-8x2 + -6x + -9 = 0

Reorder the terms:
-9 + -6x + -8x2 = 0

Solving
-9 + -6x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6x + 8x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 6x + 8x2)' equal to zero and attempt to solve:

Simplifying
9 + 6x + 8x2 = 0

Solving
9 + 6x + 8x2 = 0

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

Divide each side by '8'.
1.125 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 0.75x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 0.75x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 0.75x + x2 = 0 + -1.125
0.75x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
0.75x + x2 = -1.125

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -1.125 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -1.125 + 0.140625

Combine like terms: -1.125 + 0.140625 = -0.984375
0.140625 + 0.75x + x2 = -0.984375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.984375

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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