2b+3b(b-7)=44

Simple and best practice solution for 2b+3b(b-7)=44 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2b+3b(b-7)=44 equation: 


Simplifying
2b + 3b(b + -7) = 44

Reorder the terms:
2b + 3b(-7 + b) = 44
2b + (-7 * 3b + b * 3b) = 44
2b + (-21b + 3b2) = 44

Combine like terms: 2b + -21b = -19b
-19b + 3b2 = 44

Solving
-19b + 3b2 = 44

Solving for variable 'b'.

Reorder the terms:
-44 + -19b + 3b2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + -19b + 3b2 = 0

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

Divide each side by '3'.
-14.66666667 + -6.333333333b + b2 = 0

Move the constant term to the right:

Add '14.66666667' to each side of the equation.
-14.66666667 + -6.333333333b + 14.66666667 + b2 = 0 + 14.66666667

Reorder the terms:
-14.66666667 + 14.66666667 + -6.333333333b + b2 = 0 + 14.66666667

Combine like terms: -14.66666667 + 14.66666667 = 0.00000000
0.00000000 + -6.333333333b + b2 = 0 + 14.66666667
-6.333333333b + b2 = 0 + 14.66666667

Combine like terms: 0 + 14.66666667 = 14.66666667
-6.333333333b + b2 = 14.66666667

The b term is -6.333333333b.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333b + 10.02777778 + b2 = 14.66666667 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333b + b2 = 14.66666667 + 10.02777778

Combine like terms: 14.66666667 + 10.02777778 = 24.69444445
10.02777778 + -6.333333333b + b2 = 24.69444445

Factor a perfect square on the left side:
(b + -3.166666667)(b + -3.166666667) = 24.69444445

Calculate the square root of the right side: 4.969350506

Break this problem into two subproblems by setting 
(b + -3.166666667) equal to 4.969350506 and -4.969350506.


Subproblem 1
b + -3.166666667 = 4.969350506

Simplifying
b + -3.166666667 = 4.969350506

Reorder the terms:
-3.166666667 + b = 4.969350506

Solving
-3.166666667 + b = 4.969350506

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + b = 4.969350506 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + b = 4.969350506 + 3.166666667
b = 4.969350506 + 3.166666667

Combine like terms: 4.969350506 + 3.166666667 = 8.136017173
b = 8.136017173

Simplifying
b = 8.136017173


Subproblem 2
b + -3.166666667 = -4.969350506

Simplifying
b + -3.166666667 = -4.969350506

Reorder the terms:
-3.166666667 + b = -4.969350506

Solving
-3.166666667 + b = -4.969350506

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + b = -4.969350506 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + b = -4.969350506 + 3.166666667
b = -4.969350506 + 3.166666667

Combine like terms: -4.969350506 + 3.166666667 = -1.802683839
b = -1.802683839

Simplifying
b = -1.802683839


Solution
The solution to the problem is based on the solutions
from the subproblems.
b = {8.136017173, -1.802683839}

See similar equations:

| 7x+11=17-2x | | 34p+14=30p+22 | | 0.2x+9=0.05x | | 0.2x+9=0.05 | | -x+3=7x+7 | | 1-2=2x-6 | | 17x-3=175+17x+8 | | -8+2x=-32 | | -x-6=7x+16 | | 5x(9)=30(x+1) | | hxj= | | -x+6=7x+16 | | -87-11p=784 | | 2x-3(x-1)=27 | | .25t+7=2 | | 10f+3=4f-39 | | x-3(x+1)=27 | | 2x^2-3x=9x+0 | | -x-6=7x+8 | | .25t+5=1 | | 9x^3-15x^2+12x-20= | | F(x)=-5x+c | | (5+2i)(5-2i)=0 | | x-2x+3=8x+3-x+4 | | 38+(-50)= | | 4d+6=2-b+4 | | -(9+(-17))=-9+x | | 2x+9=-41 | | -8+2x=32 | | 8z+6=7z+4g | | 4t+2+t=17 | | 5lnx=14 |

Equations solver categories