18v^2+15v+15=0

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Solution for 18v^2+15v+15=0 equation:


Simplifying
18v2 + 15v + 15 = 0

Reorder the terms:
15 + 15v + 18v2 = 0

Solving
15 + 15v + 18v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 5v + 6v2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + 5v + 6v2)' equal to zero and attempt to solve:

Simplifying
5 + 5v + 6v2 = 0

Solving
5 + 5v + 6v2 = 0

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

Divide each side by '6'.
0.8333333333 + 0.8333333333v + v2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 0.8333333333v + -0.8333333333 + v2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 0.8333333333v + v2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 0.8333333333v + v2 = 0 + -0.8333333333
0.8333333333v + v2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
0.8333333333v + v2 = -0.8333333333

The v term is 0.8333333333v.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333v + 0.1736111111 + v2 = -0.8333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333v + v2 = -0.8333333333 + 0.1736111111

Combine like terms: -0.8333333333 + 0.1736111111 = -0.6597222222
0.1736111111 + 0.8333333333v + v2 = -0.6597222222

Factor a perfect square on the left side:
(v + 0.4166666667)(v + 0.4166666667) = -0.6597222222

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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