v^2-12v+36+18=0

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Solution for v^2-12v+36+18=0 equation:


Simplifying
v2 + -12v + 36 + 18 = 0

Reorder the terms:
36 + 18 + -12v + v2 = 0

Combine like terms: 36 + 18 = 54
54 + -12v + v2 = 0

Solving
54 + -12v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -12v + -54 + v2 = 0 + -54

Reorder the terms:
54 + -54 + -12v + v2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -12v + v2 = 0 + -54
-12v + v2 = 0 + -54

Combine like terms: 0 + -54 = -54
-12v + v2 = -54

The v term is -12v.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12v + 36 + v2 = -54 + 36

Reorder the terms:
36 + -12v + v2 = -54 + 36

Combine like terms: -54 + 36 = -18
36 + -12v + v2 = -18

Factor a perfect square on the left side:
(v + -6)(v + -6) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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