9v^2-4v=-9

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Solution for 9v^2-4v=-9 equation:


Simplifying
9v2 + -4v = -9

Reorder the terms:
-4v + 9v2 = -9

Solving
-4v + 9v2 = -9

Solving for variable 'v'.

Reorder the terms:
9 + -4v + 9v2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -4v + 9v2 = 0

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

Divide each side by '9'.
1 + -0.4444444444v + v2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.4444444444v + -1 + v2 = 0 + -1

Reorder the terms:
1 + -1 + -0.4444444444v + v2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.4444444444v + v2 = 0 + -1
-0.4444444444v + v2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.4444444444v + v2 = -1

The v term is -0.4444444444v.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444v + 0.04938271604 + v2 = -1 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444v + v2 = -1 + 0.04938271604

Combine like terms: -1 + 0.04938271604 = -0.95061728396
0.04938271604 + -0.4444444444v + v2 = -0.95061728396

Factor a perfect square on the left side:
(v + -0.2222222222)(v + -0.2222222222) = -0.95061728396

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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