v^2-12v+34=-6

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Solution for v^2-12v+34=-6 equation:


Simplifying
v2 + -12v + 34 = -6

Reorder the terms:
34 + -12v + v2 = -6

Solving
34 + -12v + v2 = -6

Solving for variable 'v'.

Reorder the terms:
34 + 6 + -12v + v2 = -6 + 6

Combine like terms: 34 + 6 = 40
40 + -12v + v2 = -6 + 6

Combine like terms: -6 + 6 = 0
40 + -12v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -12v + -40 + v2 = 0 + -40

Reorder the terms:
40 + -40 + -12v + v2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -12v + v2 = 0 + -40
-12v + v2 = 0 + -40

Combine like terms: 0 + -40 = -40
-12v + v2 = -40

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 = -40 + 36

Reorder the terms:
36 + -12v + v2 = -40 + 36

Combine like terms: -40 + 36 = -4
36 + -12v + v2 = -4

Factor a perfect square on the left side:
(v + -6)(v + -6) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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