3b^2-16b+64=36

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Solution for 3b^2-16b+64=36 equation: 


Simplifying
3b2 + -16b + 64 = 36

Reorder the terms:
64 + -16b + 3b2 = 36

Solving
64 + -16b + 3b2 = 36

Solving for variable 'b'.

Reorder the terms:
64 + -36 + -16b + 3b2 = 36 + -36

Combine like terms: 64 + -36 = 28
28 + -16b + 3b2 = 36 + -36

Combine like terms: 36 + -36 = 0
28 + -16b + 3b2 = 0

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

Divide each side by '3'.
9.333333333 + -5.333333333b + b2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -5.333333333b + -9.333333333 + b2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -5.333333333b + b2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -5.333333333b + b2 = 0 + -9.333333333
-5.333333333b + b2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-5.333333333b + b2 = -9.333333333

The b term is -5.333333333b.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333b + 7.111111113 + b2 = -9.333333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333b + b2 = -9.333333333 + 7.111111113

Combine like terms: -9.333333333 + 7.111111113 = -2.22222222
7.111111113 + -5.333333333b + b2 = -2.22222222

Factor a perfect square on the left side:
(b + -2.666666667)(b + -2.666666667) = -2.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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