3(3v^2+10v)+13=-13

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Solution for 3(3v^2+10v)+13=-13 equation: 


Simplifying
3(3v2 + 10v) + 13 = -13

Reorder the terms:
3(10v + 3v2) + 13 = -13
(10v * 3 + 3v2 * 3) + 13 = -13
(30v + 9v2) + 13 = -13

Reorder the terms:
13 + 30v + 9v2 = -13

Solving
13 + 30v + 9v2 = -13

Solving for variable 'v'.

Reorder the terms:
13 + 13 + 30v + 9v2 = -13 + 13

Combine like terms: 13 + 13 = 26
26 + 30v + 9v2 = -13 + 13

Combine like terms: -13 + 13 = 0
26 + 30v + 9v2 = 0

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

Divide each side by '9'.
2.888888889 + 3.333333333v + v2 = 0

Move the constant term to the right:

Add '-2.888888889' to each side of the equation.
2.888888889 + 3.333333333v + -2.888888889 + v2 = 0 + -2.888888889

Reorder the terms:
2.888888889 + -2.888888889 + 3.333333333v + v2 = 0 + -2.888888889

Combine like terms: 2.888888889 + -2.888888889 = 0.000000000
0.000000000 + 3.333333333v + v2 = 0 + -2.888888889
3.333333333v + v2 = 0 + -2.888888889

Combine like terms: 0 + -2.888888889 = -2.888888889
3.333333333v + v2 = -2.888888889

The v term is 3.333333333v.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333v + 2.777777779 + v2 = -2.888888889 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333v + v2 = -2.888888889 + 2.777777779

Combine like terms: -2.888888889 + 2.777777779 = -0.11111111
2.777777779 + 3.333333333v + v2 = -0.11111111

Factor a perfect square on the left side:
(v + 1.666666667)(v + 1.666666667) = -0.11111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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