9r^2-16r+9=0

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


Simplifying
9r2 + -16r + 9 = 0

Reorder the terms:
9 + -16r + 9r2 = 0

Solving
9 + -16r + 9r2 = 0

Solving for variable 'r'.

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

Divide each side by '9'.
1 + -1.777777778r + r2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.777777778r + -1 + r2 = 0 + -1

Reorder the terms:
1 + -1 + -1.777777778r + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.777777778r + r2 = 0 + -1
-1.777777778r + r2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.777777778r + r2 = -1

The r term is -1.777777778r.  Take half its coefficient (-0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
-1.777777778r + 0.7901234570 + r2 = -1 + 0.7901234570

Reorder the terms:
0.7901234570 + -1.777777778r + r2 = -1 + 0.7901234570

Combine like terms: -1 + 0.7901234570 = -0.209876543
0.7901234570 + -1.777777778r + r2 = -0.209876543

Factor a perfect square on the left side:
(r + -0.888888889)(r + -0.888888889) = -0.209876543

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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