v^2+14v+60=0

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Solution for v^2+14v+60=0 equation:


Simplifying
v2 + 14v + 60 = 0

Reorder the terms:
60 + 14v + v2 = 0

Solving
60 + 14v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + 14v + -60 + v2 = 0 + -60

Reorder the terms:
60 + -60 + 14v + v2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 14v + v2 = 0 + -60
14v + v2 = 0 + -60

Combine like terms: 0 + -60 = -60
14v + v2 = -60

The v term is 14v.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14v + 49 + v2 = -60 + 49

Reorder the terms:
49 + 14v + v2 = -60 + 49

Combine like terms: -60 + 49 = -11
49 + 14v + v2 = -11

Factor a perfect square on the left side:
(v + 7)(v + 7) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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