-8v^2-5v-13=0

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Solution for -8v^2-5v-13=0 equation: 


Simplifying
-8v2 + -5v + -13 = 0

Reorder the terms:
-13 + -5v + -8v2 = 0

Solving
-13 + -5v + -8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 5v + 8v2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 5v + 8v2)' equal to zero and attempt to solve:

Simplifying
13 + 5v + 8v2 = 0

Solving
13 + 5v + 8v2 = 0

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

Divide each side by '8'.
1.625 + 0.625v + v2 = 0

Move the constant term to the right:

Add '-1.625' to each side of the equation.
1.625 + 0.625v + -1.625 + v2 = 0 + -1.625

Reorder the terms:
1.625 + -1.625 + 0.625v + v2 = 0 + -1.625

Combine like terms: 1.625 + -1.625 = 0.000
0.000 + 0.625v + v2 = 0 + -1.625
0.625v + v2 = 0 + -1.625

Combine like terms: 0 + -1.625 = -1.625
0.625v + v2 = -1.625

The v term is 0.625v.  Take half its coefficient (0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
0.625v + 0.09765625 + v2 = -1.625 + 0.09765625

Reorder the terms:
0.09765625 + 0.625v + v2 = -1.625 + 0.09765625

Combine like terms: -1.625 + 0.09765625 = -1.52734375
0.09765625 + 0.625v + v2 = -1.52734375

Factor a perfect square on the left side:
(v + 0.3125)(v + 0.3125) = -1.52734375

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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