0.5(8b-12)+9=4/3(9-15b)-3b

Solution for 0.5(8b-12)+9=4/3(9-15b)-3b equation:

0.5(8b-12)+9=4/3(9-15b)-3b

We move all terms to the left:

0.5(8b-12)+9-(4/3(9-15b)-3b)=0


Domain of the equation: 3(9-15b)-3b)!=0

b∈R


We add all the numbers together, and all the variables

0.5(8b-12)-(4/3(-15b+9)-3b)+9=0

We multiply parentheses

4b-(4/3(-15b+9)-3b)-6+9=0

We multiply all the terms by the denominator


4b*3(-15b+9)-3b)-(4-6*3(-15b+9)-3b)+9*3(-15b+9)-3b)=0

We add all the numbers together, and all the variables

-15b+4b*3(-15b+9)-3b)-(4-6*3(-15b+9)-3b)+9*3(+9)-3b)=0

Wy multiply elements

12b^2(--3b)-15b-(4-18b(--3b)+9*3(+9)-3b)=0


We calculate terms in parentheses: -(4-18b(--3b)+9*3(+9)-3b), so:

4-18b(--3b)+9*3(+9)-3b

determiningTheFunctionDomain
-18b(--3b)-3b+4+9*3(+9)

We add all the numbers together, and all the variables

-18b(-3b)-3b+4+9*39

We add all the numbers together, and all the variables

-3b-18b(-3b)+355

We multiply parentheses

54b^2-3b+355

Back to the equation:

-(54b^2-3b+355)


We add all the numbers together, and all the variables

12b^2(-3b)-15b-(54b^2-3b+355)=0

We get rid of parentheses

12b^2(-3b)-54b^2-15b+3b-355=0

We add all the numbers together, and all the variables

-54b^2+12b^2(-3b)-12b-355=0

We move all terms containing b to the left, all other terms to the right

-54b^2+12b^2(-3b)-12b=355