-v^2+6v-16=-6

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Solution for -v^2+6v-16=-6 equation:


Simplifying
-1v2 + 6v + -16 = -6

Reorder the terms:
-16 + 6v + -1v2 = -6

Solving
-16 + 6v + -1v2 = -6

Solving for variable 'v'.

Reorder the terms:
-16 + 6 + 6v + -1v2 = -6 + 6

Combine like terms: -16 + 6 = -10
-10 + 6v + -1v2 = -6 + 6

Combine like terms: -6 + 6 = 0
-10 + 6v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
10 + -6v + v2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6v + -10 + v2 = 0 + -10

Reorder the terms:
10 + -10 + -6v + v2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6v + v2 = 0 + -10
-6v + v2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6v + v2 = -10

The v term is -6v.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6v + 9 + v2 = -10 + 9

Reorder the terms:
9 + -6v + v2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6v + v2 = -1

Factor a perfect square on the left side:
(v + -3)(v + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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