8v^2-8v+9=0

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Solution for 8v^2-8v+9=0 equation:


Simplifying
8v2 + -8v + 9 = 0

Reorder the terms:
9 + -8v + 8v2 = 0

Solving
9 + -8v + 8v2 = 0

Solving for variable 'v'.

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

Divide each side by '8'.
1.125 + -1v + v2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -1v + -1.125 + v2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -1v + v2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -1v + v2 = 0 + -1.125
-1v + v2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-1v + v2 = -1.125

The v term is -1v.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1v + 0.25 + v2 = -1.125 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -1.125 + 0.25

Combine like terms: -1.125 + 0.25 = -0.875
0.25 + -1v + v2 = -0.875

Factor a perfect square on the left side:
(v + -0.5)(v + -0.5) = -0.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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