v^2+4v+69=9

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Solution for v^2+4v+69=9 equation:


Simplifying
v2 + 4v + 69 = 9

Reorder the terms:
69 + 4v + v2 = 9

Solving
69 + 4v + v2 = 9

Solving for variable 'v'.

Reorder the terms:
69 + -9 + 4v + v2 = 9 + -9

Combine like terms: 69 + -9 = 60
60 + 4v + v2 = 9 + -9

Combine like terms: 9 + -9 = 0
60 + 4v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + 4v + -60 + v2 = 0 + -60

Reorder the terms:
60 + -60 + 4v + v2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 4v + v2 = 0 + -60
4v + v2 = 0 + -60

Combine like terms: 0 + -60 = -60
4v + v2 = -60

The v term is 4v.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4v + 4 + v2 = -60 + 4

Reorder the terms:
4 + 4v + v2 = -60 + 4

Combine like terms: -60 + 4 = -56
4 + 4v + v2 = -56

Factor a perfect square on the left side:
(v + 2)(v + 2) = -56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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