18b^2-9b^2-5b+2=0

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Solution for 18b^2-9b^2-5b+2=0 equation:


Simplifying
18b2 + -9b2 + -5b + 2 = 0

Reorder the terms:
2 + -5b + 18b2 + -9b2 = 0

Combine like terms: 18b2 + -9b2 = 9b2
2 + -5b + 9b2 = 0

Solving
2 + -5b + 9b2 = 0

Solving for variable 'b'.

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

Divide each side by '9'.
0.2222222222 + -0.5555555556b + b2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.5555555556b + -0.2222222222 + b2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.5555555556b + b2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.5555555556b + b2 = 0 + -0.2222222222
-0.5555555556b + b2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.5555555556b + b2 = -0.2222222222

The b term is -0.5555555556b.  Take half its coefficient (-0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
-0.5555555556b + 0.07716049384 + b2 = -0.2222222222 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556b + b2 = -0.2222222222 + 0.07716049384

Combine like terms: -0.2222222222 + 0.07716049384 = -0.14506172836
0.07716049384 + -0.5555555556b + b2 = -0.14506172836

Factor a perfect square on the left side:
(b + -0.2777777778)(b + -0.2777777778) = -0.14506172836

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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