9v^2-12v+16=0

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Solution for 9v^2-12v+16=0 equation:


Simplifying
9v2 + -12v + 16 = 0

Reorder the terms:
16 + -12v + 9v2 = 0

Solving
16 + -12v + 9v2 = 0

Solving for variable 'v'.

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

Divide each side by '9'.
1.777777778 + -1.333333333v + v2 = 0

Move the constant term to the right:

Add '-1.777777778' to each side of the equation.
1.777777778 + -1.333333333v + -1.777777778 + v2 = 0 + -1.777777778

Reorder the terms:
1.777777778 + -1.777777778 + -1.333333333v + v2 = 0 + -1.777777778

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
0.000000000 + -1.333333333v + v2 = 0 + -1.777777778
-1.333333333v + v2 = 0 + -1.777777778

Combine like terms: 0 + -1.777777778 = -1.777777778
-1.333333333v + v2 = -1.777777778

The v term is -1.333333333v.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333v + 0.4444444442 + v2 = -1.777777778 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333v + v2 = -1.777777778 + 0.4444444442

Combine like terms: -1.777777778 + 0.4444444442 = -1.3333333338
0.4444444442 + -1.333333333v + v2 = -1.3333333338

Factor a perfect square on the left side:
(v + -0.6666666665)(v + -0.6666666665) = -1.3333333338

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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