5b(10-3b)=105-8b+4(11-4b)

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Solution for 5b(10-3b)=105-8b+4(11-4b) equation: 


Simplifying
5b(10 + -3b) = 105 + -8b + 4(11 + -4b)
(10 * 5b + -3b * 5b) = 105 + -8b + 4(11 + -4b)
(50b + -15b2) = 105 + -8b + 4(11 + -4b)
50b + -15b2 = 105 + -8b + (11 * 4 + -4b * 4)
50b + -15b2 = 105 + -8b + (44 + -16b)

Reorder the terms:
50b + -15b2 = 105 + 44 + -8b + -16b

Combine like terms: 105 + 44 = 149
50b + -15b2 = 149 + -8b + -16b

Combine like terms: -8b + -16b = -24b
50b + -15b2 = 149 + -24b

Solving
50b + -15b2 = 149 + -24b

Solving for variable 'b'.

Reorder the terms:
-149 + 50b + 24b + -15b2 = 149 + -24b + -149 + 24b

Combine like terms: 50b + 24b = 74b
-149 + 74b + -15b2 = 149 + -24b + -149 + 24b

Reorder the terms:
-149 + 74b + -15b2 = 149 + -149 + -24b + 24b

Combine like terms: 149 + -149 = 0
-149 + 74b + -15b2 = 0 + -24b + 24b
-149 + 74b + -15b2 = -24b + 24b

Combine like terms: -24b + 24b = 0
-149 + 74b + -15b2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
9.933333333 + -4.933333333b + b2 = 0

Move the constant term to the right:

Add '-9.933333333' to each side of the equation.
9.933333333 + -4.933333333b + -9.933333333 + b2 = 0 + -9.933333333

Reorder the terms:
9.933333333 + -9.933333333 + -4.933333333b + b2 = 0 + -9.933333333

Combine like terms: 9.933333333 + -9.933333333 = 0.000000000
0.000000000 + -4.933333333b + b2 = 0 + -9.933333333
-4.933333333b + b2 = 0 + -9.933333333

Combine like terms: 0 + -9.933333333 = -9.933333333
-4.933333333b + b2 = -9.933333333

The b term is -4.933333333b.  Take half its coefficient (-2.466666667).
Square it (6.084444446) and add it to both sides.

Add '6.084444446' to each side of the equation.
-4.933333333b + 6.084444446 + b2 = -9.933333333 + 6.084444446

Reorder the terms:
6.084444446 + -4.933333333b + b2 = -9.933333333 + 6.084444446

Combine like terms: -9.933333333 + 6.084444446 = -3.848888887
6.084444446 + -4.933333333b + b2 = -3.848888887

Factor a perfect square on the left side:
(b + -2.466666667)(b + -2.466666667) = -3.848888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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