5b*3b=2b-10

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Solution for 5b*3b=2b-10 equation: 


Simplifying
5b * 3b = 2b + -10

Reorder the terms for easier multiplication:
5 * 3b * b = 2b + -10

Multiply 5 * 3
15b * b = 2b + -10

Multiply b * b
15b2 = 2b + -10

Reorder the terms:
15b2 = -10 + 2b

Solving
15b2 = -10 + 2b

Solving for variable 'b'.

Reorder the terms:
10 + -2b + 15b2 = -10 + 2b + 10 + -2b

Reorder the terms:
10 + -2b + 15b2 = -10 + 10 + 2b + -2b

Combine like terms: -10 + 10 = 0
10 + -2b + 15b2 = 0 + 2b + -2b
10 + -2b + 15b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
10 + -2b + 15b2 = 0

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

Divide each side by '15'.
0.6666666667 + -0.1333333333b + b2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.1333333333b + -0.6666666667 + b2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.1333333333b + b2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.1333333333b + b2 = 0 + -0.6666666667
-0.1333333333b + b2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.1333333333b + b2 = -0.6666666667

The b term is -0.1333333333b.  Take half its coefficient (-0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
-0.1333333333b + 0.004444444442 + b2 = -0.6666666667 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333b + b2 = -0.6666666667 + 0.004444444442

Combine like terms: -0.6666666667 + 0.004444444442 = -0.662222222258
0.004444444442 + -0.1333333333b + b2 = -0.662222222258

Factor a perfect square on the left side:
(b + -0.06666666665)(b + -0.06666666665) = -0.662222222258

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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