3v^2-17v=-46

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Solution for 3v^2-17v=-46 equation: 


Simplifying
3v2 + -17v = -46

Reorder the terms:
-17v + 3v2 = -46

Solving
-17v + 3v2 = -46

Solving for variable 'v'.

Reorder the terms:
46 + -17v + 3v2 = -46 + 46

Combine like terms: -46 + 46 = 0
46 + -17v + 3v2 = 0

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

Divide each side by '3'.
15.33333333 + -5.666666667v + v2 = 0

Move the constant term to the right:

Add '-15.33333333' to each side of the equation.
15.33333333 + -5.666666667v + -15.33333333 + v2 = 0 + -15.33333333

Reorder the terms:
15.33333333 + -15.33333333 + -5.666666667v + v2 = 0 + -15.33333333

Combine like terms: 15.33333333 + -15.33333333 = 0.00000000
0.00000000 + -5.666666667v + v2 = 0 + -15.33333333
-5.666666667v + v2 = 0 + -15.33333333

Combine like terms: 0 + -15.33333333 = -15.33333333
-5.666666667v + v2 = -15.33333333

The v term is -5.666666667v.  Take half its coefficient (-2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
-5.666666667v + 8.027777782 + v2 = -15.33333333 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667v + v2 = -15.33333333 + 8.027777782

Combine like terms: -15.33333333 + 8.027777782 = -7.305555548
8.027777782 + -5.666666667v + v2 = -7.305555548

Factor a perfect square on the left side:
(v + -2.833333334)(v + -2.833333334) = -7.305555548

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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